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Finding the Fourth Proportional to 457,996.20, 686,799.90 and 221,411.40

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Solution

The fourth proportional to 457,996.20, 686,799.90 and 221,411.40 is: 332,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,996.20 : 686,799.90 = 221,411.40 : x
  2. Step 2: Convert to fraction form
    457,996.20/686,799.90 = 221,411.40/x
  3. Step 3: Cross multiply
    457,996.20x = 686,799.90 × 221,411.40
  4. Step 4: Simplify right side
    457,996.20x = 152,065,327,378.86
  5. Step 5: Solve for x
    x = 152,065,327,378.86/457,996.20
  6. Step 6: Final answer
    x = 332,023.12

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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.