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Finding the Fourth Proportional to 500,135.68, 690,191.85 and 296,198.20

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Solution

The fourth proportional to 500,135.68, 690,191.85 and 296,198.20 is: 408,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,135.68 : 690,191.85 = 296,198.20 : x
  2. Step 2: Convert to fraction form
    500,135.68/690,191.85 = 296,198.20/x
  3. Step 3: Cross multiply
    500,135.68x = 690,191.85 × 296,198.20
  4. Step 4: Simplify right side
    500,135.68x = 204,433,583,624.67
  5. Step 5: Solve for x
    x = 204,433,583,624.67/500,135.68
  6. Step 6: Final answer
    x = 408,756.25

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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.