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Finding the Fourth Proportional to 511,335.38, 767,003.18 and 156,349.44

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Solution

The fourth proportional to 511,335.38, 767,003.18 and 156,349.44 is: 234,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,335.38 : 767,003.18 = 156,349.44 : x
  2. Step 2: Convert to fraction form
    511,335.38/767,003.18 = 156,349.44/x
  3. Step 3: Cross multiply
    511,335.38x = 767,003.18 × 156,349.44
  4. Step 4: Simplify right side
    511,335.38x = 119,920,516,889.47
  5. Step 5: Solve for x
    x = 119,920,516,889.47/511,335.38
  6. Step 6: Final answer
    x = 234,524.19

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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.