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Finding the Fourth Proportional to 517,811.87, 714,574.62 and 288,364.15

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Solution

The fourth proportional to 517,811.87, 714,574.62 and 288,364.15 is: 397,939.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,811.87 : 714,574.62 = 288,364.15 : x
  2. Step 2: Convert to fraction form
    517,811.87/714,574.62 = 288,364.15/x
  3. Step 3: Cross multiply
    517,811.87x = 714,574.62 × 288,364.15
  4. Step 4: Simplify right side
    517,811.87x = 206,057,701,121.44
  5. Step 5: Solve for x
    x = 206,057,701,121.44/517,811.87
  6. Step 6: Final answer
    x = 397,939.32

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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.