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Finding the Fourth Proportional to 417,756.68, 576,500.25 and 226,769.82

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Solution

The fourth proportional to 417,756.68, 576,500.25 and 226,769.82 is: 312,940.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,756.68 : 576,500.25 = 226,769.82 : x
  2. Step 2: Convert to fraction form
    417,756.68/576,500.25 = 226,769.82/x
  3. Step 3: Cross multiply
    417,756.68x = 576,500.25 × 226,769.82
  4. Step 4: Simplify right side
    417,756.68x = 130,732,855,039.95
  5. Step 5: Solve for x
    x = 130,732,855,039.95/417,756.68
  6. Step 6: Final answer
    x = 312,940.19

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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.