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Finding the Fourth Proportional to 472,398.80, 708,144.60 and 156,693.20

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Solution

The fourth proportional to 472,398.80, 708,144.60 and 156,693.20 is: 234,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,398.80 : 708,144.60 = 156,693.20 : x
  2. Step 2: Convert to fraction form
    472,398.80/708,144.60 = 156,693.20/x
  3. Step 3: Cross multiply
    472,398.80x = 708,144.60 × 156,693.20
  4. Step 4: Simplify right side
    472,398.80x = 110,961,443,436.72
  5. Step 5: Solve for x
    x = 110,961,443,436.72/472,398.80
  6. Step 6: Final answer
    x = 234,889.34

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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.