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Finding the Fourth Proportional to 472,939.60, 709,474.20 and 157,363.60

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Solution

The fourth proportional to 472,939.60, 709,474.20 and 157,363.60 is: 236,066.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,939.60 : 709,474.20 = 157,363.60 : x
  2. Step 2: Convert to fraction form
    472,939.60/709,474.20 = 157,363.60/x
  3. Step 3: Cross multiply
    472,939.60x = 709,474.20 × 157,363.60
  4. Step 4: Simplify right side
    472,939.60x = 111,645,414,219.12
  5. Step 5: Solve for x
    x = 111,645,414,219.12/472,939.60
  6. Step 6: Final answer
    x = 236,066.96

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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.