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Finding the Fourth Proportional to 378,537.75, 567,806.63 and 98,055

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Solution

The fourth proportional to 378,537.75, 567,806.63 and 98,055 is: 147,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,537.75 : 567,806.63 = 98,055 : x
  2. Step 2: Convert to fraction form
    378,537.75/567,806.63 = 98,055/x
  3. Step 3: Cross multiply
    378,537.75x = 567,806.63 × 98,055
  4. Step 4: Simplify right side
    378,537.75x = 55,676,278,614.38
  5. Step 5: Solve for x
    x = 55,676,278,614.38/378,537.75
  6. Step 6: Final answer
    x = 147,082.50

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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.