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Finding the Fourth Proportional to 416,745.56, 575,108.16 and 225,763.76

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Solution

The fourth proportional to 416,745.56, 575,108.16 and 225,763.76 is: 311,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,745.56 : 575,108.16 = 225,763.76 : x
  2. Step 2: Convert to fraction form
    416,745.56/575,108.16 = 225,763.76/x
  3. Step 3: Cross multiply
    416,745.56x = 575,108.16 × 225,763.76
  4. Step 4: Simplify right side
    416,745.56x = 129,838,580,608.28
  5. Step 5: Solve for x
    x = 129,838,580,608.28/416,745.56
  6. Step 6: Final answer
    x = 311,553.60

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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.