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Finding the Fourth Proportional to 314,034.68, 471,052.02 and 89,418.44

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Solution

The fourth proportional to 314,034.68, 471,052.02 and 89,418.44 is: 134,127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,034.68 : 471,052.02 = 89,418.44 : x
  2. Step 2: Convert to fraction form
    314,034.68/471,052.02 = 89,418.44/x
  3. Step 3: Cross multiply
    314,034.68x = 471,052.02 × 89,418.44
  4. Step 4: Simplify right side
    314,034.68x = 42,120,736,787.25
  5. Step 5: Solve for x
    x = 42,120,736,787.25/314,034.68
  6. Step 6: Final answer
    x = 134,127.66

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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.