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Finding the Fourth Proportional to 426,531.64, 588,613.89 and 232,942

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Solution

The fourth proportional to 426,531.64, 588,613.89 and 232,942 is: 321,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,531.64 : 588,613.89 = 232,942 : x
  2. Step 2: Convert to fraction form
    426,531.64/588,613.89 = 232,942/x
  3. Step 3: Cross multiply
    426,531.64x = 588,613.89 × 232,942
  4. Step 4: Simplify right side
    426,531.64x = 137,112,896,764.38
  5. Step 5: Solve for x
    x = 137,112,896,764.38/426,531.64
  6. Step 6: Final answer
    x = 321,460.08

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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.