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Finding the Fourth Proportional to 686,101.75, 946,820.42 and 417,829.75

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Solution

The fourth proportional to 686,101.75, 946,820.42 and 417,829.75 is: 576,605.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,101.75 : 946,820.42 = 417,829.75 : x
  2. Step 2: Convert to fraction form
    686,101.75/946,820.42 = 417,829.75/x
  3. Step 3: Cross multiply
    686,101.75x = 946,820.42 × 417,829.75
  4. Step 4: Simplify right side
    686,101.75x = 395,609,739,383.50
  5. Step 5: Solve for x
    x = 395,609,739,383.50/686,101.75
  6. Step 6: Final answer
    x = 576,605.06

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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.