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Finding the Fourth Proportional to 426,301.08, 588,302.72 and 232,718.78

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Solution

The fourth proportional to 426,301.08, 588,302.72 and 232,718.78 is: 321,155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,301.08 : 588,302.72 = 232,718.78 : x
  2. Step 2: Convert to fraction form
    426,301.08/588,302.72 = 232,718.78/x
  3. Step 3: Cross multiply
    426,301.08x = 588,302.72 × 232,718.78
  4. Step 4: Simplify right side
    426,301.08x = 136,909,087,163.97
  5. Step 5: Solve for x
    x = 136,909,087,163.97/426,301.08
  6. Step 6: Final answer
    x = 321,155.85

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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.