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Finding the Fourth Proportional to 532,094.52, 797,906.90 and 199,437.24

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Solution

The fourth proportional to 532,094.52, 797,906.90 and 199,437.24 is: 299,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,094.52 : 797,906.90 = 199,437.24 : x
  2. Step 2: Convert to fraction form
    532,094.52/797,906.90 = 199,437.24/x
  3. Step 3: Cross multiply
    532,094.52x = 797,906.90 × 199,437.24
  4. Step 4: Simplify right side
    532,094.52x = 159,132,349,912.96
  5. Step 5: Solve for x
    x = 159,132,349,912.96/532,094.52
  6. Step 6: Final answer
    x = 299,067.82

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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.