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Finding the Fourth Proportional to 408,967.38, 613,355.69 and 156,155.04

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Solution

The fourth proportional to 408,967.38, 613,355.69 and 156,155.04 is: 234,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,967.38 : 613,355.69 = 156,155.04 : x
  2. Step 2: Convert to fraction form
    408,967.38/613,355.69 = 156,155.04/x
  3. Step 3: Cross multiply
    408,967.38x = 613,355.69 × 156,155.04
  4. Step 4: Simplify right side
    408,967.38x = 95,778,582,696.57
  5. Step 5: Solve for x
    x = 95,778,582,696.57/408,967.38
  6. Step 6: Final answer
    x = 234,196.14

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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.