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Finding the Fourth Proportional to 266,747.60, 400,121.40 and 257,416.40

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Solution

The fourth proportional to 266,747.60, 400,121.40 and 257,416.40 is: 386,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,747.60 : 400,121.40 = 257,416.40 : x
  2. Step 2: Convert to fraction form
    266,747.60/400,121.40 = 257,416.40/x
  3. Step 3: Cross multiply
    266,747.60x = 400,121.40 × 257,416.40
  4. Step 4: Simplify right side
    266,747.60x = 102,997,810,350.96
  5. Step 5: Solve for x
    x = 102,997,810,350.96/266,747.60
  6. Step 6: Final answer
    x = 386,124.60

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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.