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Finding the Fourth Proportional to 257,790.40, 386,248.20 and 213,175.60

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Solution

The fourth proportional to 257,790.40, 386,248.20 and 213,175.60 is: 319,401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,790.40 : 386,248.20 = 213,175.60 : x
  2. Step 2: Convert to fraction form
    257,790.40/386,248.20 = 213,175.60/x
  3. Step 3: Cross multiply
    257,790.40x = 386,248.20 × 213,175.60
  4. Step 4: Simplify right side
    257,790.40x = 82,338,691,783.92
  5. Step 5: Solve for x
    x = 82,338,691,783.92/257,790.40
  6. Step 6: Final answer
    x = 319,401.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.