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Finding the Fourth Proportional to 429,213.98, 592,343.59 and 247,933.54

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Solution

The fourth proportional to 429,213.98, 592,343.59 and 247,933.54 is: 342,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,213.98 : 592,343.59 = 247,933.54 : x
  2. Step 2: Convert to fraction form
    429,213.98/592,343.59 = 247,933.54/x
  3. Step 3: Cross multiply
    429,213.98x = 592,343.59 × 247,933.54
  4. Step 4: Simplify right side
    429,213.98x = 146,861,843,165.01
  5. Step 5: Solve for x
    x = 146,861,843,165.01/429,213.98
  6. Step 6: Final answer
    x = 342,164.63

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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.