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Finding the Fourth Proportional to 517,563.90, 775,884.15 and 201,947.40

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Solution

The fourth proportional to 517,563.90, 775,884.15 and 201,947.40 is: 302,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,563.90 : 775,884.15 = 201,947.40 : x
  2. Step 2: Convert to fraction form
    517,563.90/775,884.15 = 201,947.40/x
  3. Step 3: Cross multiply
    517,563.90x = 775,884.15 × 201,947.40
  4. Step 4: Simplify right side
    517,563.90x = 156,687,786,793.71
  5. Step 5: Solve for x
    x = 156,687,786,793.71/517,563.90
  6. Step 6: Final answer
    x = 302,740.95

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Why These Related Problems?

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