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Finding the Fourth Proportional to 416,679.86, 575,018.37 and 225,692.66

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Solution

The fourth proportional to 416,679.86, 575,018.37 and 225,692.66 is: 311,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,679.86 : 575,018.37 = 225,692.66 : x
  2. Step 2: Convert to fraction form
    416,679.86/575,018.37 = 225,692.66/x
  3. Step 3: Cross multiply
    416,679.86x = 575,018.37 × 225,692.66
  4. Step 4: Simplify right side
    416,679.86x = 129,777,425,474.16
  5. Step 5: Solve for x
    x = 129,777,425,474.16/416,679.86
  6. Step 6: Final answer
    x = 311,455.96

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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.