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Finding the Fourth Proportional to 507,115.70, 760,793.52 and 165,557.30

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Solution

The fourth proportional to 507,115.70, 760,793.52 and 165,557.30 is: 248,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,115.70 : 760,793.52 = 165,557.30 : x
  2. Step 2: Convert to fraction form
    507,115.70/760,793.52 = 165,557.30/x
  3. Step 3: Cross multiply
    507,115.70x = 760,793.52 × 165,557.30
  4. Step 4: Simplify right side
    507,115.70x = 125,954,921,028.70
  5. Step 5: Solve for x
    x = 125,954,921,028.70/507,115.70
  6. Step 6: Final answer
    x = 248,375.12

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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.