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Finding the Fourth Proportional to 314,227.68, 471,415.32 and 103,865.61

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Solution

The fourth proportional to 314,227.68, 471,415.32 and 103,865.61 is: 155,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,227.68 : 471,415.32 = 103,865.61 : x
  2. Step 2: Convert to fraction form
    314,227.68/471,415.32 = 103,865.61/x
  3. Step 3: Cross multiply
    314,227.68x = 471,415.32 × 103,865.61
  4. Step 4: Simplify right side
    314,227.68x = 48,963,839,775.15
  5. Step 5: Solve for x
    x = 48,963,839,775.15/314,227.68
  6. Step 6: Final answer
    x = 155,822.81

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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.