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Finding the Fourth Proportional to 424,217.64, 585,405.39 and 233,229.57

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Solution

The fourth proportional to 424,217.64, 585,405.39 and 233,229.57 is: 321,848.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,217.64 : 585,405.39 = 233,229.57 : x
  2. Step 2: Convert to fraction form
    424,217.64/585,405.39 = 233,229.57/x
  3. Step 3: Cross multiply
    424,217.64x = 585,405.39 × 233,229.57
  4. Step 4: Simplify right side
    424,217.64x = 136,533,847,385.38
  5. Step 5: Solve for x
    x = 136,533,847,385.38/424,217.64
  6. Step 6: Final answer
    x = 321,848.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.