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Finding the Fourth Proportional to 511,411.68, 767,124.04 and 195,887.52

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Solution

The fourth proportional to 511,411.68, 767,124.04 and 195,887.52 is: 293,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,411.68 : 767,124.04 = 195,887.52 : x
  2. Step 2: Convert to fraction form
    511,411.68/767,124.04 = 195,887.52/x
  3. Step 3: Cross multiply
    511,411.68x = 767,124.04 × 195,887.52
  4. Step 4: Simplify right side
    511,411.68x = 150,270,025,727.98
  5. Step 5: Solve for x
    x = 150,270,025,727.98/511,411.68
  6. Step 6: Final answer
    x = 293,833.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.