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Finding the Fourth Proportional to 516,527.54, 712,826.28 and 287,089.40

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Solution

The fourth proportional to 516,527.54, 712,826.28 and 287,089.40 is: 396,193.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,527.54 : 712,826.28 = 287,089.40 : x
  2. Step 2: Convert to fraction form
    516,527.54/712,826.28 = 287,089.40/x
  3. Step 3: Cross multiply
    516,527.54x = 712,826.28 × 287,089.40
  4. Step 4: Simplify right side
    516,527.54x = 204,644,869,029.43
  5. Step 5: Solve for x
    x = 204,644,869,029.43/516,527.54
  6. Step 6: Final answer
    x = 396,193.53

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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.