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Finding the Fourth Proportional to 297,947.20, 446,920.80 and 282,395.20

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Solution

The fourth proportional to 297,947.20, 446,920.80 and 282,395.20 is: 423,592.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,947.20 : 446,920.80 = 282,395.20 : x
  2. Step 2: Convert to fraction form
    297,947.20/446,920.80 = 282,395.20/x
  3. Step 3: Cross multiply
    297,947.20x = 446,920.80 × 282,395.20
  4. Step 4: Simplify right side
    297,947.20x = 126,208,288,700.16
  5. Step 5: Solve for x
    x = 126,208,288,700.16/297,947.20
  6. Step 6: Final answer
    x = 423,592.80

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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.