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Finding the Fourth Proportional to 315,141.60, 472,318.20 and 157,414.08

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Solution

The fourth proportional to 315,141.60, 472,318.20 and 157,414.08 is: 235,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,141.60 : 472,318.20 = 157,414.08 : x
  2. Step 2: Convert to fraction form
    315,141.60/472,318.20 = 157,414.08/x
  3. Step 3: Cross multiply
    315,141.60x = 472,318.20 × 157,414.08
  4. Step 4: Simplify right side
    315,141.60x = 74,349,534,920.26
  5. Step 5: Solve for x
    x = 74,349,534,920.26/315,141.60
  6. Step 6: Final answer
    x = 235,924.22

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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.