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Finding the Fourth Proportional to 334,761.20, 501,714.74 and 156,876.30

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Solution

The fourth proportional to 334,761.20, 501,714.74 and 156,876.30 is: 235,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,761.20 : 501,714.74 = 156,876.30 : x
  2. Step 2: Convert to fraction form
    334,761.20/501,714.74 = 156,876.30/x
  3. Step 3: Cross multiply
    334,761.20x = 501,714.74 × 156,876.30
  4. Step 4: Simplify right side
    334,761.20x = 78,707,152,066.66
  5. Step 5: Solve for x
    x = 78,707,152,066.66/334,761.20
  6. Step 6: Final answer
    x = 235,114.32

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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.