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Finding the Fourth Proportional to 298,161.42, 447,385.65 and 148,414.80

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Solution

The fourth proportional to 298,161.42, 447,385.65 and 148,414.80 is: 222,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,161.42 : 447,385.65 = 148,414.80 : x
  2. Step 2: Convert to fraction form
    298,161.42/447,385.65 = 148,414.80/x
  3. Step 3: Cross multiply
    298,161.42x = 447,385.65 × 148,414.80
  4. Step 4: Simplify right side
    298,161.42x = 66,398,651,624.47
  5. Step 5: Solve for x
    x = 66,398,651,624.47/298,161.42
  6. Step 6: Final answer
    x = 222,693.64

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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.