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Finding the Fourth Proportional to 465,625.74, 698,061.92 and 145,612.97

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Solution

The fourth proportional to 465,625.74, 698,061.92 and 145,612.97 is: 218,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,625.74 : 698,061.92 = 145,612.97 : x
  2. Step 2: Convert to fraction form
    465,625.74/698,061.92 = 145,612.97/x
  3. Step 3: Cross multiply
    465,625.74x = 698,061.92 × 145,612.97
  4. Step 4: Simplify right side
    465,625.74x = 101,646,867,079.77
  5. Step 5: Solve for x
    x = 101,646,867,079.77/465,625.74
  6. Step 6: Final answer
    x = 218,301.65

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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.