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Finding the Fourth Proportional to 426,253.74, 588,221.16 and 232,655.04

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Solution

The fourth proportional to 426,253.74, 588,221.16 and 232,655.04 is: 321,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,253.74 : 588,221.16 = 232,655.04 : x
  2. Step 2: Convert to fraction form
    426,253.74/588,221.16 = 232,655.04/x
  3. Step 3: Cross multiply
    426,253.74x = 588,221.16 × 232,655.04
  4. Step 4: Simplify right side
    426,253.74x = 136,852,617,508.65
  5. Step 5: Solve for x
    x = 136,852,617,508.65/426,253.74
  6. Step 6: Final answer
    x = 321,059.04

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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.