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Finding the Fourth Proportional to 322,154.57, 483,248.58 and 82,270.74

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Solution

The fourth proportional to 322,154.57, 483,248.58 and 82,270.74 is: 123,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,154.57 : 483,248.58 = 82,270.74 : x
  2. Step 2: Convert to fraction form
    322,154.57/483,248.58 = 82,270.74/x
  3. Step 3: Cross multiply
    322,154.57x = 483,248.58 × 82,270.74
  4. Step 4: Simplify right side
    322,154.57x = 39,757,218,280.55
  5. Step 5: Solve for x
    x = 39,757,218,280.55/322,154.57
  6. Step 6: Final answer
    x = 123,410.38

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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.