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Finding the Fourth Proportional to 517,832.17, 714,593.91 and 288,389.38

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Solution

The fourth proportional to 517,832.17, 714,593.91 and 288,389.38 is: 397,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,832.17 : 714,593.91 = 288,389.38 : x
  2. Step 2: Convert to fraction form
    517,832.17/714,593.91 = 288,389.38/x
  3. Step 3: Cross multiply
    517,832.17x = 714,593.91 × 288,389.38
  4. Step 4: Simplify right side
    517,832.17x = 206,081,294,656.68
  5. Step 5: Solve for x
    x = 206,081,294,656.68/517,832.17
  6. Step 6: Final answer
    x = 397,969.28

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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.