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Finding the Fourth Proportional to 493,432.90, 739,165.20 and 343,842.10

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Solution

The fourth proportional to 493,432.90, 739,165.20 and 343,842.10 is: 515,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,432.90 : 739,165.20 = 343,842.10 : x
  2. Step 2: Convert to fraction form
    493,432.90/739,165.20 = 343,842.10/x
  3. Step 3: Cross multiply
    493,432.90x = 739,165.20 × 343,842.10
  4. Step 4: Simplify right side
    493,432.90x = 254,156,114,614.92
  5. Step 5: Solve for x
    x = 254,156,114,614.92/493,432.90
  6. Step 6: Final answer
    x = 515,077.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.