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Finding the Fourth Proportional to 472,764.25, 709,152.45 and 157,221.19

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Solution

The fourth proportional to 472,764.25, 709,152.45 and 157,221.19 is: 235,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,764.25 : 709,152.45 = 157,221.19 : x
  2. Step 2: Convert to fraction form
    472,764.25/709,152.45 = 157,221.19/x
  3. Step 3: Cross multiply
    472,764.25x = 709,152.45 × 157,221.19
  4. Step 4: Simplify right side
    472,764.25x = 111,493,792,080.42
  5. Step 5: Solve for x
    x = 111,493,792,080.42/472,764.25
  6. Step 6: Final answer
    x = 235,833.81

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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.