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Finding the Fourth Proportional to 465,821.20, 698,731.80 and 415,082.80

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Solution

The fourth proportional to 465,821.20, 698,731.80 and 415,082.80 is: 622,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,821.20 : 698,731.80 = 415,082.80 : x
  2. Step 2: Convert to fraction form
    465,821.20/698,731.80 = 415,082.80/x
  3. Step 3: Cross multiply
    465,821.20x = 698,731.80 × 415,082.80
  4. Step 4: Simplify right side
    465,821.20x = 290,031,551,993.04
  5. Step 5: Solve for x
    x = 290,031,551,993.04/465,821.20
  6. Step 6: Final answer
    x = 622,624.20

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1.5x scale

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.