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Finding the Fourth Proportional to 322,423.20, 483,634.80 and 97,772.40

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Solution

The fourth proportional to 322,423.20, 483,634.80 and 97,772.40 is: 146,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,423.20 : 483,634.80 = 97,772.40 : x
  2. Step 2: Convert to fraction form
    322,423.20/483,634.80 = 97,772.40/x
  3. Step 3: Cross multiply
    322,423.20x = 483,634.80 × 97,772.40
  4. Step 4: Simplify right side
    322,423.20x = 47,286,135,119.52
  5. Step 5: Solve for x
    x = 47,286,135,119.52/322,423.20
  6. Step 6: Final answer
    x = 146,658.60

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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.