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Finding the Fourth Proportional to 532,029.22, 797,896.10 and 147,689.78

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Solution

The fourth proportional to 532,029.22, 797,896.10 and 147,689.78 is: 221,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,029.22 : 797,896.10 = 147,689.78 : x
  2. Step 2: Convert to fraction form
    532,029.22/797,896.10 = 147,689.78/x
  3. Step 3: Cross multiply
    532,029.22x = 797,896.10 × 147,689.78
  4. Step 4: Simplify right side
    532,029.22x = 117,841,095,851.60
  5. Step 5: Solve for x
    x = 117,841,095,851.60/532,029.22
  6. Step 6: Final answer
    x = 221,493.65

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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.