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Finding the Fourth Proportional to 314,475.60, 471,717.49 and 89,843.37

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Solution

The fourth proportional to 314,475.60, 471,717.49 and 89,843.37 is: 134,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,475.60 : 471,717.49 = 89,843.37 : x
  2. Step 2: Convert to fraction form
    314,475.60/471,717.49 = 89,843.37/x
  3. Step 3: Cross multiply
    314,475.60x = 471,717.49 × 89,843.37
  4. Step 4: Simplify right side
    314,475.60x = 42,380,688,989.54
  5. Step 5: Solve for x
    x = 42,380,688,989.54/314,475.60
  6. Step 6: Final answer
    x = 134,766.22

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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.