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Finding the Fourth Proportional to 472,672.60, 709,073.70 and 157,096.60

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Solution

The fourth proportional to 472,672.60, 709,073.70 and 157,096.60 is: 235,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,672.60 : 709,073.70 = 157,096.60 : x
  2. Step 2: Convert to fraction form
    472,672.60/709,073.70 = 157,096.60/x
  3. Step 3: Cross multiply
    472,672.60x = 709,073.70 × 157,096.60
  4. Step 4: Simplify right side
    472,672.60x = 111,393,067,419.42
  5. Step 5: Solve for x
    x = 111,393,067,419.42/472,672.60
  6. Step 6: Final answer
    x = 235,666.44

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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.