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Finding the Fourth Proportional to 322,909.40, 484,364.10 and 221,432.60

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Solution

The fourth proportional to 322,909.40, 484,364.10 and 221,432.60 is: 332,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,909.40 : 484,364.10 = 221,432.60 : x
  2. Step 2: Convert to fraction form
    322,909.40/484,364.10 = 221,432.60/x
  3. Step 3: Cross multiply
    322,909.40x = 484,364.10 × 221,432.60
  4. Step 4: Simplify right side
    322,909.40x = 107,254,002,009.66
  5. Step 5: Solve for x
    x = 107,254,002,009.66/322,909.40
  6. Step 6: Final answer
    x = 332,148.90

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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.