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Finding the Fourth Proportional to 296,295.33, 444,489.17 and 96,569.38

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Solution

The fourth proportional to 296,295.33, 444,489.17 and 96,569.38 is: 144,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,295.33 : 444,489.17 = 96,569.38 : x
  2. Step 2: Convert to fraction form
    296,295.33/444,489.17 = 96,569.38/x
  3. Step 3: Cross multiply
    296,295.33x = 444,489.17 × 96,569.38
  4. Step 4: Simplify right side
    296,295.33x = 42,924,041,969.54
  5. Step 5: Solve for x
    x = 42,924,041,969.54/296,295.33
  6. Step 6: Final answer
    x = 144,869.11

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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.