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Finding the Fourth Proportional to 416,796.38, 575,179.57 and 225,809.77

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Solution

The fourth proportional to 416,796.38, 575,179.57 and 225,809.77 is: 311,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,796.38 : 575,179.57 = 225,809.77 : x
  2. Step 2: Convert to fraction form
    416,796.38/575,179.57 = 225,809.77/x
  3. Step 3: Cross multiply
    416,796.38x = 575,179.57 × 225,809.77
  4. Step 4: Simplify right side
    416,796.38x = 129,881,166,410.40
  5. Step 5: Solve for x
    x = 129,881,166,410.40/416,796.38
  6. Step 6: Final answer
    x = 311,617.79

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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.