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Finding the Fourth Proportional to 429,663.72, 592,919.46 and 238,689.12

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Solution

The fourth proportional to 429,663.72, 592,919.46 and 238,689.12 is: 329,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,663.72 : 592,919.46 = 238,689.12 : x
  2. Step 2: Convert to fraction form
    429,663.72/592,919.46 = 238,689.12/x
  3. Step 3: Cross multiply
    429,663.72x = 592,919.46 × 238,689.12
  4. Step 4: Simplify right side
    429,663.72x = 141,523,424,138.28
  5. Step 5: Solve for x
    x = 141,523,424,138.28/429,663.72
  6. Step 6: Final answer
    x = 329,381.83

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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.