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Finding the Fourth Proportional to 429,421.96, 592,546.52 and 238,398.44

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Solution

The fourth proportional to 429,421.96, 592,546.52 and 238,398.44 is: 328,958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,421.96 : 592,546.52 = 238,398.44 : x
  2. Step 2: Convert to fraction form
    429,421.96/592,546.52 = 238,398.44/x
  3. Step 3: Cross multiply
    429,421.96x = 592,546.52 × 238,398.44
  4. Step 4: Simplify right side
    429,421.96x = 141,262,165,995.43
  5. Step 5: Solve for x
    x = 141,262,165,995.43/429,421.96
  6. Step 6: Final answer
    x = 328,958.88

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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.