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Finding the Fourth Proportional to 314,227.97, 471,415.79 and 103,865.92

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Solution

The fourth proportional to 314,227.97, 471,415.79 and 103,865.92 is: 155,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,227.97 : 471,415.79 = 103,865.92 : x
  2. Step 2: Convert to fraction form
    314,227.97/471,415.79 = 103,865.92/x
  3. Step 3: Cross multiply
    314,227.97x = 471,415.79 × 103,865.92
  4. Step 4: Simplify right side
    314,227.97x = 48,964,034,730.88
  5. Step 5: Solve for x
    x = 48,964,034,730.88/314,227.97
  6. Step 6: Final answer
    x = 155,823.29

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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.