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Finding the Fourth Proportional to 538,228.40, 807,342.60 and 412,257.20

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Solution

The fourth proportional to 538,228.40, 807,342.60 and 412,257.20 is: 618,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,228.40 : 807,342.60 = 412,257.20 : x
  2. Step 2: Convert to fraction form
    538,228.40/807,342.60 = 412,257.20/x
  3. Step 3: Cross multiply
    538,228.40x = 807,342.60 × 412,257.20
  4. Step 4: Simplify right side
    538,228.40x = 332,832,799,716.72
  5. Step 5: Solve for x
    x = 332,832,799,716.72/538,228.40
  6. Step 6: Final answer
    x = 618,385.80

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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.