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Finding the Fourth Proportional to 514,753.61, 771,044.15 and 413,000.75

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Solution

The fourth proportional to 514,753.61, 771,044.15 and 413,000.75 is: 618,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,753.61 : 771,044.15 = 413,000.75 : x
  2. Step 2: Convert to fraction form
    514,753.61/771,044.15 = 413,000.75/x
  3. Step 3: Cross multiply
    514,753.61x = 771,044.15 × 413,000.75
  4. Step 4: Simplify right side
    514,753.61x = 318,441,815,193.23
  5. Step 5: Solve for x
    x = 318,441,815,193.23/514,753.61
  6. Step 6: Final answer
    x = 618,629.60

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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.