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Finding the Fourth Proportional to 296,395.71, 444,592.90 and 229,025.71

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Solution

The fourth proportional to 296,395.71, 444,592.90 and 229,025.71 is: 343,538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,395.71 : 444,592.90 = 229,025.71 : x
  2. Step 2: Convert to fraction form
    296,395.71/444,592.90 = 229,025.71/x
  3. Step 3: Cross multiply
    296,395.71x = 444,592.90 × 229,025.71
  4. Step 4: Simplify right side
    296,395.71x = 101,823,205,425.48
  5. Step 5: Solve for x
    x = 101,823,205,425.48/296,395.71
  6. Step 6: Final answer
    x = 343,538.06

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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.