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Finding the Fourth Proportional to 424,885.52, 585,077.28 and 415,455.68

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Solution

The fourth proportional to 424,885.52, 585,077.28 and 415,455.68 is: 572,092.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,885.52 : 585,077.28 = 415,455.68 : x
  2. Step 2: Convert to fraction form
    424,885.52/585,077.28 = 415,455.68/x
  3. Step 3: Cross multiply
    424,885.52x = 585,077.28 × 415,455.68
  4. Step 4: Simplify right side
    424,885.52x = 243,073,679,214.95
  5. Step 5: Solve for x
    x = 243,073,679,214.95/424,885.52
  6. Step 6: Final answer
    x = 572,092.17

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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.