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Finding the Fourth Proportional to 650,791.43, 976,816.85 and 314,069.12

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Solution

The fourth proportional to 650,791.43, 976,816.85 and 314,069.12 is: 471,407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,791.43 : 976,816.85 = 314,069.12 : x
  2. Step 2: Convert to fraction form
    650,791.43/976,816.85 = 314,069.12/x
  3. Step 3: Cross multiply
    650,791.43x = 976,816.85 × 314,069.12
  4. Step 4: Simplify right side
    650,791.43x = 306,788,005,689.31
  5. Step 5: Solve for x
    x = 306,788,005,689.31/650,791.43
  6. Step 6: Final answer
    x = 471,407.57

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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.