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Finding the Fourth Proportional to 580,082.40, 869,864.40 and 224,978.40

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Solution

The fourth proportional to 580,082.40, 869,864.40 and 224,978.40 is: 337,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,082.40 : 869,864.40 = 224,978.40 : x
  2. Step 2: Convert to fraction form
    580,082.40/869,864.40 = 224,978.40/x
  3. Step 3: Cross multiply
    580,082.40x = 869,864.40 × 224,978.40
  4. Step 4: Simplify right side
    580,082.40x = 195,700,700,928.96
  5. Step 5: Solve for x
    x = 195,700,700,928.96/580,082.40
  6. Step 6: Final answer
    x = 337,367.07

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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.