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Finding the Fourth Proportional to 511,209.27, 705,499.62 and 281,766.24

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Solution

The fourth proportional to 511,209.27, 705,499.62 and 281,766.24 is: 388,854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,209.27 : 705,499.62 = 281,766.24 : x
  2. Step 2: Convert to fraction form
    511,209.27/705,499.62 = 281,766.24/x
  3. Step 3: Cross multiply
    511,209.27x = 705,499.62 × 281,766.24
  4. Step 4: Simplify right side
    511,209.27x = 198,785,975,248.83
  5. Step 5: Solve for x
    x = 198,785,975,248.83/511,209.27
  6. Step 6: Final answer
    x = 388,854.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.