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Finding the Fourth Proportional to 314,207.72, 471,240.54 and 89,563.34

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Solution

The fourth proportional to 314,207.72, 471,240.54 and 89,563.34 is: 134,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,207.72 : 471,240.54 = 89,563.34 : x
  2. Step 2: Convert to fraction form
    314,207.72/471,240.54 = 89,563.34/x
  3. Step 3: Cross multiply
    314,207.72x = 471,240.54 × 89,563.34
  4. Step 4: Simplify right side
    314,207.72x = 42,205,876,705.80
  5. Step 5: Solve for x
    x = 42,205,876,705.80/314,207.72
  6. Step 6: Final answer
    x = 134,324.76

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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.