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Finding the Fourth Proportional to 511,733.20, 767,657.40 and 156,744.40

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Solution

The fourth proportional to 511,733.20, 767,657.40 and 156,744.40 is: 235,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,733.20 : 767,657.40 = 156,744.40 : x
  2. Step 2: Convert to fraction form
    511,733.20/767,657.40 = 156,744.40/x
  3. Step 3: Cross multiply
    511,733.20x = 767,657.40 × 156,744.40
  4. Step 4: Simplify right side
    511,733.20x = 120,325,998,568.56
  5. Step 5: Solve for x
    x = 120,325,998,568.56/511,733.20
  6. Step 6: Final answer
    x = 235,134.24

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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.