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Finding the Fourth Proportional to 416,764.44, 575,134.36 and 225,778.60

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Solution

The fourth proportional to 416,764.44, 575,134.36 and 225,778.60 is: 311,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,764.44 : 575,134.36 = 225,778.60 : x
  2. Step 2: Convert to fraction form
    416,764.44/575,134.36 = 225,778.60/x
  3. Step 3: Cross multiply
    416,764.44x = 575,134.36 × 225,778.60
  4. Step 4: Simplify right side
    416,764.44x = 129,853,030,612.70
  5. Step 5: Solve for x
    x = 129,853,030,612.70/416,764.44
  6. Step 6: Final answer
    x = 311,574.16

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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.