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Finding the Fourth Proportional to 657,806.20, 987,098.10 and 433,814.20

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Solution

The fourth proportional to 657,806.20, 987,098.10 and 433,814.20 is: 650,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,806.20 : 987,098.10 = 433,814.20 : x
  2. Step 2: Convert to fraction form
    657,806.20/987,098.10 = 433,814.20/x
  3. Step 3: Cross multiply
    657,806.20x = 987,098.10 × 433,814.20
  4. Step 4: Simplify right side
    657,806.20x = 428,217,172,573.02
  5. Step 5: Solve for x
    x = 428,217,172,573.02/657,806.20
  6. Step 6: Final answer
    x = 650,977.71

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.