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Finding the Fourth Proportional to 465,939.33, 698,831.15 and 129,014.04

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Solution

The fourth proportional to 465,939.33, 698,831.15 and 129,014.04 is: 193,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,939.33 : 698,831.15 = 129,014.04 : x
  2. Step 2: Convert to fraction form
    465,939.33/698,831.15 = 129,014.04/x
  3. Step 3: Cross multiply
    465,939.33x = 698,831.15 × 129,014.04
  4. Step 4: Simplify right side
    465,939.33x = 90,159,029,294.28
  5. Step 5: Solve for x
    x = 90,159,029,294.28/465,939.33
  6. Step 6: Final answer
    x = 193,499.50

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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.