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Finding the Fourth Proportional to 686,074.01, 946,781.19 and 380,170.19

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Solution

The fourth proportional to 686,074.01, 946,781.19 and 380,170.19 is: 524,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,074.01 : 946,781.19 = 380,170.19 : x
  2. Step 2: Convert to fraction form
    686,074.01/946,781.19 = 380,170.19/x
  3. Step 3: Cross multiply
    686,074.01x = 946,781.19 × 380,170.19
  4. Step 4: Simplify right side
    686,074.01x = 359,937,988,683.32
  5. Step 5: Solve for x
    x = 359,937,988,683.32/686,074.01
  6. Step 6: Final answer
    x = 524,634.35

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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.