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Finding the Fourth Proportional to 424,124.64, 585,292.64 and 233,139.20

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Solution

The fourth proportional to 424,124.64, 585,292.64 and 233,139.20 is: 321,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,124.64 : 585,292.64 = 233,139.20 : x
  2. Step 2: Convert to fraction form
    424,124.64/585,292.64 = 233,139.20/x
  3. Step 3: Cross multiply
    424,124.64x = 585,292.64 × 233,139.20
  4. Step 4: Simplify right side
    424,124.64x = 136,454,653,763.33
  5. Step 5: Solve for x
    x = 136,454,653,763.33/424,124.64
  6. Step 6: Final answer
    x = 321,732.44

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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.