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Finding the Fourth Proportional to 416,850.80, 575,254.62 and 225,864.14

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Solution

The fourth proportional to 416,850.80, 575,254.62 and 225,864.14 is: 311,692.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,850.80 : 575,254.62 = 225,864.14 : x
  2. Step 2: Convert to fraction form
    416,850.80/575,254.62 = 225,864.14/x
  3. Step 3: Cross multiply
    416,850.80x = 575,254.62 × 225,864.14
  4. Step 4: Simplify right side
    416,850.80x = 129,929,390,027.33
  5. Step 5: Solve for x
    x = 129,929,390,027.33/416,850.80
  6. Step 6: Final answer
    x = 311,692.79

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1.5x scale

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.