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Finding the Fourth Proportional to 417,024.69, 625,537.04 and 360,697.48

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Solution

The fourth proportional to 417,024.69, 625,537.04 and 360,697.48 is: 541,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,024.69 : 625,537.04 = 360,697.48 : x
  2. Step 2: Convert to fraction form
    417,024.69/625,537.04 = 360,697.48/x
  3. Step 3: Cross multiply
    417,024.69x = 625,537.04 × 360,697.48
  4. Step 4: Simplify right side
    417,024.69x = 225,629,633,974.66
  5. Step 5: Solve for x
    x = 225,629,633,974.66/417,024.69
  6. Step 6: Final answer
    x = 541,046.22

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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.