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Finding the Fourth Proportional to 416,944.56, 575,384 and 225,957.96

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Solution

The fourth proportional to 416,944.56, 575,384 and 225,957.96 is: 311,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,944.56 : 575,384 = 225,957.96 : x
  2. Step 2: Convert to fraction form
    416,944.56/575,384 = 225,957.96/x
  3. Step 3: Cross multiply
    416,944.56x = 575,384 × 225,957.96
  4. Step 4: Simplify right side
    416,944.56x = 130,012,594,856.64
  5. Step 5: Solve for x
    x = 130,012,594,856.64/416,944.56
  6. Step 6: Final answer
    x = 311,822.26

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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.