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Finding the Fourth Proportional to 564,761.04, 846,016.68 and 413,277.28

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Solution

The fourth proportional to 564,761.04, 846,016.68 and 413,277.28 is: 619,092.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,761.04 : 846,016.68 = 413,277.28 : x
  2. Step 2: Convert to fraction form
    564,761.04/846,016.68 = 413,277.28/x
  3. Step 3: Cross multiply
    564,761.04x = 846,016.68 × 413,277.28
  4. Step 4: Simplify right side
    564,761.04x = 349,639,472,345.03
  5. Step 5: Solve for x
    x = 349,639,472,345.03/564,761.04
  6. Step 6: Final answer
    x = 619,092.76

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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.