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Finding the Fourth Proportional to 686,169.68, 946,408.20 and 471,344.72

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Solution

The fourth proportional to 686,169.68, 946,408.20 and 471,344.72 is: 650,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,169.68 : 946,408.20 = 471,344.72 : x
  2. Step 2: Convert to fraction form
    686,169.68/946,408.20 = 471,344.72/x
  3. Step 3: Cross multiply
    686,169.68x = 946,408.20 × 471,344.72
  4. Step 4: Simplify right side
    686,169.68x = 446,084,508,034.70
  5. Step 5: Solve for x
    x = 446,084,508,034.70/686,169.68
  6. Step 6: Final answer
    x = 650,108.16

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.