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Finding the Fourth Proportional to 462,601.17, 693,565.34 and 312,469.29

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Solution

The fourth proportional to 462,601.17, 693,565.34 and 312,469.29 is: 468,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,601.17 : 693,565.34 = 312,469.29 : x
  2. Step 2: Convert to fraction form
    462,601.17/693,565.34 = 312,469.29/x
  3. Step 3: Cross multiply
    462,601.17x = 693,565.34 × 312,469.29
  4. Step 4: Simplify right side
    462,601.17x = 216,717,867,796.06
  5. Step 5: Solve for x
    x = 216,717,867,796.06/462,601.17
  6. Step 6: Final answer
    x = 468,476.70

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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.