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Finding the Fourth Proportional to 472,717.25, 709,082.05 and 157,174.16

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Solution

The fourth proportional to 472,717.25, 709,082.05 and 157,174.16 is: 235,763.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,717.25 : 709,082.05 = 157,174.16 : x
  2. Step 2: Convert to fraction form
    472,717.25/709,082.05 = 157,174.16/x
  3. Step 3: Cross multiply
    472,717.25x = 709,082.05 × 157,174.16
  4. Step 4: Simplify right side
    472,717.25x = 111,449,372,034.42
  5. Step 5: Solve for x
    x = 111,449,372,034.42/472,717.25
  6. Step 6: Final answer
    x = 235,763.29

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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.