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Finding the Fourth Proportional to 532,053.12, 797,902.60 and 172,138.48

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Solution

The fourth proportional to 532,053.12, 797,902.60 and 172,138.48 is: 258,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,053.12 : 797,902.60 = 172,138.48 : x
  2. Step 2: Convert to fraction form
    532,053.12/797,902.60 = 172,138.48/x
  3. Step 3: Cross multiply
    532,053.12x = 797,902.60 × 172,138.48
  4. Step 4: Simplify right side
    532,053.12x = 137,349,740,752.05
  5. Step 5: Solve for x
    x = 137,349,740,752.05/532,053.12
  6. Step 6: Final answer
    x = 258,150.43

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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.