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Finding the Fourth Proportional to 511,809.97, 767,833.10 and 151,972.81

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Solution

The fourth proportional to 511,809.97, 767,833.10 and 151,972.81 is: 227,994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,809.97 : 767,833.10 = 151,972.81 : x
  2. Step 2: Convert to fraction form
    511,809.97/767,833.10 = 151,972.81/x
  3. Step 3: Cross multiply
    511,809.97x = 767,833.10 × 151,972.81
  4. Step 4: Simplify right side
    511,809.97x = 116,689,753,818.01
  5. Step 5: Solve for x
    x = 116,689,753,818.01/511,809.97
  6. Step 6: Final answer
    x = 227,994.30

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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.