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Finding the Fourth Proportional to 296,689.43, 444,982.25 and 83,406.64

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Solution

The fourth proportional to 296,689.43, 444,982.25 and 83,406.64 is: 125,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,689.43 : 444,982.25 = 83,406.64 : x
  2. Step 2: Convert to fraction form
    296,689.43/444,982.25 = 83,406.64/x
  3. Step 3: Cross multiply
    296,689.43x = 444,982.25 × 83,406.64
  4. Step 4: Simplify right side
    296,689.43x = 37,114,472,802.65
  5. Step 5: Solve for x
    x = 37,114,472,802.65/296,689.43
  6. Step 6: Final answer
    x = 125,095.37

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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.