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Finding the Fourth Proportional to 472,645.60, 709,033.20 and 157,069.60

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Solution

The fourth proportional to 472,645.60, 709,033.20 and 157,069.60 is: 235,625.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,645.60 : 709,033.20 = 157,069.60 : x
  2. Step 2: Convert to fraction form
    472,645.60/709,033.20 = 157,069.60/x
  3. Step 3: Cross multiply
    472,645.60x = 709,033.20 × 157,069.60
  4. Step 4: Simplify right side
    472,645.60x = 111,367,561,110.72
  5. Step 5: Solve for x
    x = 111,367,561,110.72/472,645.60
  6. Step 6: Final answer
    x = 235,625.93

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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.