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Finding the Fourth Proportional to 290,782.47, 401,151.17 and 193,892.90

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Solution

The fourth proportional to 290,782.47, 401,151.17 and 193,892.90 is: 267,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,782.47 : 401,151.17 = 193,892.90 : x
  2. Step 2: Convert to fraction form
    290,782.47/401,151.17 = 193,892.90/x
  3. Step 3: Cross multiply
    290,782.47x = 401,151.17 × 193,892.90
  4. Step 4: Simplify right side
    290,782.47x = 77,780,363,689.69
  5. Step 5: Solve for x
    x = 77,780,363,689.69/290,782.47
  6. Step 6: Final answer
    x = 267,486.43

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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.