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Finding the Fourth Proportional to 461,446.60, 692,169.90 and 146,000.20

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Solution

The fourth proportional to 461,446.60, 692,169.90 and 146,000.20 is: 219,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,446.60 : 692,169.90 = 146,000.20 : x
  2. Step 2: Convert to fraction form
    461,446.60/692,169.90 = 146,000.20/x
  3. Step 3: Cross multiply
    461,446.60x = 692,169.90 × 146,000.20
  4. Step 4: Simplify right side
    461,446.60x = 101,056,943,833.98
  5. Step 5: Solve for x
    x = 101,056,943,833.98/461,446.60
  6. Step 6: Final answer
    x = 219,000.30

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Double scale
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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.