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Finding the Fourth Proportional to 416,852.43, 575,258.46 and 225,865.83

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Solution

The fourth proportional to 416,852.43, 575,258.46 and 225,865.83 is: 311,695.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,852.43 : 575,258.46 = 225,865.83 : x
  2. Step 2: Convert to fraction form
    416,852.43/575,258.46 = 225,865.83/x
  3. Step 3: Cross multiply
    416,852.43x = 575,258.46 × 225,865.83
  4. Step 4: Simplify right side
    416,852.43x = 129,931,229,532.42
  5. Step 5: Solve for x
    x = 129,931,229,532.42/416,852.43
  6. Step 6: Final answer
    x = 311,695.99

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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.