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Finding the Fourth Proportional to 280,462.40, 420,693.60 and 257,524.80

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Solution

The fourth proportional to 280,462.40, 420,693.60 and 257,524.80 is: 386,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,462.40 : 420,693.60 = 257,524.80 : x
  2. Step 2: Convert to fraction form
    280,462.40/420,693.60 = 257,524.80/x
  3. Step 3: Cross multiply
    280,462.40x = 420,693.60 × 257,524.80
  4. Step 4: Simplify right side
    280,462.40x = 108,339,035,201.28
  5. Step 5: Solve for x
    x = 108,339,035,201.28/280,462.40
  6. Step 6: Final answer
    x = 386,287.20

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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.