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Finding the Fourth Proportional to 416,428.92, 574,672.10 and 225,442.31

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Solution

The fourth proportional to 416,428.92, 574,672.10 and 225,442.31 is: 311,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,428.92 : 574,672.10 = 225,442.31 : x
  2. Step 2: Convert to fraction form
    416,428.92/574,672.10 = 225,442.31/x
  3. Step 3: Cross multiply
    416,428.92x = 574,672.10 × 225,442.31
  4. Step 4: Simplify right side
    416,428.92x = 129,555,401,715.98
  5. Step 5: Solve for x
    x = 129,555,401,715.98/416,428.92
  6. Step 6: Final answer
    x = 311,110.48

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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.