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Finding the Fourth Proportional to 417,692.17, 576,399.78 and 226,701.46

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Solution

The fourth proportional to 417,692.17, 576,399.78 and 226,701.46 is: 312,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,692.17 : 576,399.78 = 226,701.46 : x
  2. Step 2: Convert to fraction form
    417,692.17/576,399.78 = 226,701.46/x
  3. Step 3: Cross multiply
    417,692.17x = 576,399.78 × 226,701.46
  4. Step 4: Simplify right side
    417,692.17x = 130,670,670,536.17
  5. Step 5: Solve for x
    x = 130,670,670,536.17/417,692.17
  6. Step 6: Final answer
    x = 312,839.65

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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.