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Finding the Fourth Proportional to 517,287, 713,856.06 and 290,937.36

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Solution

The fourth proportional to 517,287, 713,856.06 and 290,937.36 is: 401,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,287 : 713,856.06 = 290,937.36 : x
  2. Step 2: Convert to fraction form
    517,287/713,856.06 = 290,937.36/x
  3. Step 3: Cross multiply
    517,287x = 713,856.06 × 290,937.36
  4. Step 4: Simplify right side
    517,287x = 207,687,397,516.40
  5. Step 5: Solve for x
    x = 207,687,397,516.40/517,287
  6. Step 6: Final answer
    x = 401,493.56

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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.