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Finding the Fourth Proportional to 442,451.20, 663,676.80 and 146,963.20

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Solution

The fourth proportional to 442,451.20, 663,676.80 and 146,963.20 is: 220,444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,451.20 : 663,676.80 = 146,963.20 : x
  2. Step 2: Convert to fraction form
    442,451.20/663,676.80 = 146,963.20/x
  3. Step 3: Cross multiply
    442,451.20x = 663,676.80 × 146,963.20
  4. Step 4: Simplify right side
    442,451.20x = 97,536,066,293.76
  5. Step 5: Solve for x
    x = 97,536,066,293.76/442,451.20
  6. Step 6: Final answer
    x = 220,444.80

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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.