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Finding the Fourth Proportional to 472,754.28, 709,137.60 and 157,211.16

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Solution

The fourth proportional to 472,754.28, 709,137.60 and 157,211.16 is: 235,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,754.28 : 709,137.60 = 157,211.16 : x
  2. Step 2: Convert to fraction form
    472,754.28/709,137.60 = 157,211.16/x
  3. Step 3: Cross multiply
    472,754.28x = 709,137.60 × 157,211.16
  4. Step 4: Simplify right side
    472,754.28x = 111,484,344,695.62
  5. Step 5: Solve for x
    x = 111,484,344,695.62/472,754.28
  6. Step 6: Final answer
    x = 235,818.80

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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.