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Finding the Fourth Proportional to 416,852.64, 575,257.16 and 225,865.92

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Solution

The fourth proportional to 416,852.64, 575,257.16 and 225,865.92 is: 311,695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,852.64 : 575,257.16 = 225,865.92 : x
  2. Step 2: Convert to fraction form
    416,852.64/575,257.16 = 225,865.92/x
  3. Step 3: Cross multiply
    416,852.64x = 575,257.16 × 225,865.92
  4. Step 4: Simplify right side
    416,852.64x = 129,930,987,679.99
  5. Step 5: Solve for x
    x = 129,930,987,679.99/416,852.64
  6. Step 6: Final answer
    x = 311,695.25

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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.