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Finding the Fourth Proportional to 410,642.43, 617,057.10 and 221,248.23

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Solution

The fourth proportional to 410,642.43, 617,057.10 and 221,248.23 is: 332,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,642.43 : 617,057.10 = 221,248.23 : x
  2. Step 2: Convert to fraction form
    410,642.43/617,057.10 = 221,248.23/x
  3. Step 3: Cross multiply
    410,642.43x = 617,057.10 × 221,248.23
  4. Step 4: Simplify right side
    410,642.43x = 136,522,791,183.93
  5. Step 5: Solve for x
    x = 136,522,791,183.93/410,642.43
  6. Step 6: Final answer
    x = 332,461.48

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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.