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Finding the Fourth Proportional to 349,323.20, 523,984.80 and 149,609.60

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Solution

The fourth proportional to 349,323.20, 523,984.80 and 149,609.60 is: 224,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,323.20 : 523,984.80 = 149,609.60 : x
  2. Step 2: Convert to fraction form
    349,323.20/523,984.80 = 149,609.60/x
  3. Step 3: Cross multiply
    349,323.20x = 523,984.80 × 149,609.60
  4. Step 4: Simplify right side
    349,323.20x = 78,393,156,334.08
  5. Step 5: Solve for x
    x = 78,393,156,334.08/349,323.20
  6. Step 6: Final answer
    x = 224,414.40

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Similar ratio
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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.