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Finding the Fourth Proportional to 429,033.92, 592,057.78 and 238,043.20

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Solution

The fourth proportional to 429,033.92, 592,057.78 and 238,043.20 is: 328,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,033.92 : 592,057.78 = 238,043.20 : x
  2. Step 2: Convert to fraction form
    429,033.92/592,057.78 = 238,043.20/x
  3. Step 3: Cross multiply
    429,033.92x = 592,057.78 × 238,043.20
  4. Step 4: Simplify right side
    429,033.92x = 140,935,328,536.10
  5. Step 5: Solve for x
    x = 140,935,328,536.10/429,033.92
  6. Step 6: Final answer
    x = 328,494.61

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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.