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Finding the Fourth Proportional to 517,854.24, 715,044.24 and 404,998.56

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Solution

The fourth proportional to 517,854.24, 715,044.24 and 404,998.56 is: 559,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,854.24 : 715,044.24 = 404,998.56 : x
  2. Step 2: Convert to fraction form
    517,854.24/715,044.24 = 404,998.56/x
  3. Step 3: Cross multiply
    517,854.24x = 715,044.24 × 404,998.56
  4. Step 4: Simplify right side
    517,854.24x = 289,591,887,536.29
  5. Step 5: Solve for x
    x = 289,591,887,536.29/517,854.24
  6. Step 6: Final answer
    x = 559,215.06

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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.