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Finding the Fourth Proportional to 471,113.56, 650,153.94 and 269,948.44

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Solution

The fourth proportional to 471,113.56, 650,153.94 and 269,948.44 is: 372,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,113.56 : 650,153.94 = 269,948.44 : x
  2. Step 2: Convert to fraction form
    471,113.56/650,153.94 = 269,948.44/x
  3. Step 3: Cross multiply
    471,113.56x = 650,153.94 × 269,948.44
  4. Step 4: Simplify right side
    471,113.56x = 175,508,041,862.85
  5. Step 5: Solve for x
    x = 175,508,041,862.85/471,113.56
  6. Step 6: Final answer
    x = 372,538.72

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Why These Related Problems?

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