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Finding the Fourth Proportional to 517,814.87, 714,578.76 and 288,367.15

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Solution

The fourth proportional to 517,814.87, 714,578.76 and 288,367.15 is: 397,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,814.87 : 714,578.76 = 288,367.15 : x
  2. Step 2: Convert to fraction form
    517,814.87/714,578.76 = 288,367.15/x
  3. Step 3: Cross multiply
    517,814.87x = 714,578.76 × 288,367.15
  4. Step 4: Simplify right side
    517,814.87x = 206,061,040,471.73
  5. Step 5: Solve for x
    x = 206,061,040,471.73/517,814.87
  6. Step 6: Final answer
    x = 397,943.46

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1.5x scale

Why These Related Problems?

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