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Finding the Fourth Proportional to 415,973,428.88, 574,641,266.56 and 332,231,613.28

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Solution

The fourth proportional to 415,973,428.88, 574,641,266.56 and 332,231,613.28 is: 458,957,187.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,973,428.88 : 574,641,266.56 = 332,231,613.28 : x
  2. Step 2: Convert to fraction form
    415,973,428.88/574,641,266.56 = 332,231,613.28/x
  3. Step 3: Cross multiply
    415,973,428.88x = 574,641,266.56 × 332,231,613.28
  4. Step 4: Simplify right side
    415,973,428.88x = 190,913,995,046,491,296
  5. Step 5: Solve for x
    x = 190,913,995,046,491,296/415,973,428.88
  6. Step 6: Final answer
    x = 458,957,187.63

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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.