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Finding the Fourth Proportional to 465,414.30, 698,121.45 and 166,232.70

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Solution

The fourth proportional to 465,414.30, 698,121.45 and 166,232.70 is: 249,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,414.30 : 698,121.45 = 166,232.70 : x
  2. Step 2: Convert to fraction form
    465,414.30/698,121.45 = 166,232.70/x
  3. Step 3: Cross multiply
    465,414.30x = 698,121.45 × 166,232.70
  4. Step 4: Simplify right side
    465,414.30x = 116,050,613,561.42
  5. Step 5: Solve for x
    x = 116,050,613,561.42/465,414.30
  6. Step 6: Final answer
    x = 249,349.05

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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.