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Finding the Fourth Proportional to 426,175.38, 588,125.24 and 232,584.57

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Solution

The fourth proportional to 426,175.38, 588,125.24 and 232,584.57 is: 320,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,175.38 : 588,125.24 = 232,584.57 : x
  2. Step 2: Convert to fraction form
    426,175.38/588,125.24 = 232,584.57/x
  3. Step 3: Cross multiply
    426,175.38x = 588,125.24 × 232,584.57
  4. Step 4: Simplify right side
    426,175.38x = 136,788,856,051.55
  5. Step 5: Solve for x
    x = 136,788,856,051.55/426,175.38
  6. Step 6: Final answer
    x = 320,968.46

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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.