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Finding the Fourth Proportional to 408,802.59, 613,224.14 and 156,035.61

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Solution

The fourth proportional to 408,802.59, 613,224.14 and 156,035.61 is: 234,061.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,802.59 : 613,224.14 = 156,035.61 : x
  2. Step 2: Convert to fraction form
    408,802.59/613,224.14 = 156,035.61/x
  3. Step 3: Cross multiply
    408,802.59x = 613,224.14 × 156,035.61
  4. Step 4: Simplify right side
    408,802.59x = 95,684,801,971.45
  5. Step 5: Solve for x
    x = 95,684,801,971.45/408,802.59
  6. Step 6: Final answer
    x = 234,061.14

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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.