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Finding the Fourth Proportional to 472,722.33, 709,089.67 and 157,179.23

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Solution

The fourth proportional to 472,722.33, 709,089.67 and 157,179.23 is: 235,770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,722.33 : 709,089.67 = 157,179.23 : x
  2. Step 2: Convert to fraction form
    472,722.33/709,089.67 = 157,179.23/x
  3. Step 3: Cross multiply
    472,722.33x = 709,089.67 × 157,179.23
  4. Step 4: Simplify right side
    472,722.33x = 111,454,171,188.23
  5. Step 5: Solve for x
    x = 111,454,171,188.23/472,722.33
  6. Step 6: Final answer
    x = 235,770.91

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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.