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Finding the Fourth Proportional to 416,562.56, 574,856.64 and 225,576.16

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Solution

The fourth proportional to 416,562.56, 574,856.64 and 225,576.16 is: 311,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,562.56 : 574,856.64 = 225,576.16 : x
  2. Step 2: Convert to fraction form
    416,562.56/574,856.64 = 225,576.16/x
  3. Step 3: Cross multiply
    416,562.56x = 574,856.64 × 225,576.16
  4. Step 4: Simplify right side
    416,562.56x = 129,673,953,401.70
  5. Step 5: Solve for x
    x = 129,673,953,401.70/416,562.56
  6. Step 6: Final answer
    x = 311,295.27

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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.