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Finding the Fourth Proportional to 415,499.40, 623,249.10 and 257,905.80

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Solution

The fourth proportional to 415,499.40, 623,249.10 and 257,905.80 is: 386,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,499.40 : 623,249.10 = 257,905.80 : x
  2. Step 2: Convert to fraction form
    415,499.40/623,249.10 = 257,905.80/x
  3. Step 3: Cross multiply
    415,499.40x = 623,249.10 × 257,905.80
  4. Step 4: Simplify right side
    415,499.40x = 160,739,557,734.78
  5. Step 5: Solve for x
    x = 160,739,557,734.78/415,499.40
  6. Step 6: Final answer
    x = 386,858.70

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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.