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Finding the Fourth Proportional to 292,983.84, 439,023.42 and 197,841.15

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Solution

The fourth proportional to 292,983.84, 439,023.42 and 197,841.15 is: 296,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,983.84 : 439,023.42 = 197,841.15 : x
  2. Step 2: Convert to fraction form
    292,983.84/439,023.42 = 197,841.15/x
  3. Step 3: Cross multiply
    292,983.84x = 439,023.42 × 197,841.15
  4. Step 4: Simplify right side
    292,983.84x = 86,856,898,289.73
  5. Step 5: Solve for x
    x = 86,856,898,289.73/292,983.84
  6. Step 6: Final answer
    x = 296,456.28

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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.