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Finding the Fourth Proportional to 280,260, 386,933.76 and 179,832.96

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Solution

The fourth proportional to 280,260, 386,933.76 and 179,832.96 is: 248,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,260 : 386,933.76 = 179,832.96 : x
  2. Step 2: Convert to fraction form
    280,260/386,933.76 = 179,832.96/x
  3. Step 3: Cross multiply
    280,260x = 386,933.76 × 179,832.96
  4. Step 4: Simplify right side
    280,260x = 69,583,443,384.73
  5. Step 5: Solve for x
    x = 69,583,443,384.73/280,260
  6. Step 6: Final answer
    x = 248,281.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.