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Finding the Fourth Proportional to 514,754.61, 771,045.65 and 413,001.76

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Solution

The fourth proportional to 514,754.61, 771,045.65 and 413,001.76 is: 618,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,754.61 : 771,045.65 = 413,001.76 : x
  2. Step 2: Convert to fraction form
    514,754.61/771,045.65 = 413,001.76/x
  3. Step 3: Cross multiply
    514,754.61x = 771,045.65 × 413,001.76
  4. Step 4: Simplify right side
    514,754.61x = 318,443,206,635.12
  5. Step 5: Solve for x
    x = 318,443,206,635.12/514,754.61
  6. Step 6: Final answer
    x = 618,631.10

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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.