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Finding the Fourth Proportional to 416,749.29, 575,114.30 and 225,763.44

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Solution

The fourth proportional to 416,749.29, 575,114.30 and 225,763.44 is: 311,553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,749.29 : 575,114.30 = 225,763.44 : x
  2. Step 2: Convert to fraction form
    416,749.29/575,114.30 = 225,763.44/x
  3. Step 3: Cross multiply
    416,749.29x = 575,114.30 × 225,763.44
  4. Step 4: Simplify right side
    416,749.29x = 129,839,781,632.38
  5. Step 5: Solve for x
    x = 129,839,781,632.38/416,749.29
  6. Step 6: Final answer
    x = 311,553.70

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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.