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Finding the Fourth Proportional to 511,809.66, 767,686.83 and 156,824.73

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Solution

The fourth proportional to 511,809.66, 767,686.83 and 156,824.73 is: 235,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,809.66 : 767,686.83 = 156,824.73 : x
  2. Step 2: Convert to fraction form
    511,809.66/767,686.83 = 156,824.73/x
  3. Step 3: Cross multiply
    511,809.66x = 767,686.83 × 156,824.73
  4. Step 4: Simplify right side
    511,809.66x = 120,392,279,839.31
  5. Step 5: Solve for x
    x = 120,392,279,839.31/511,809.66
  6. Step 6: Final answer
    x = 235,228.62

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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.