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Finding the Fourth Proportional to 429,043.68, 592,080.28 and 238,058.44

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Solution

The fourth proportional to 429,043.68, 592,080.28 and 238,058.44 is: 328,520.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,043.68 : 592,080.28 = 238,058.44 : x
  2. Step 2: Convert to fraction form
    429,043.68/592,080.28 = 238,058.44/x
  3. Step 3: Cross multiply
    429,043.68x = 592,080.28 × 238,058.44
  4. Step 4: Simplify right side
    429,043.68x = 140,949,707,811.56
  5. Step 5: Solve for x
    x = 140,949,707,811.56/429,043.68
  6. Step 6: Final answer
    x = 328,520.65

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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.