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Finding the Fourth Proportional to 416,430.10, 574,672.82 and 225,443.44

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Solution

The fourth proportional to 416,430.10, 574,672.82 and 225,443.44 is: 311,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,430.10 : 574,672.82 = 225,443.44 : x
  2. Step 2: Convert to fraction form
    416,430.10/574,672.82 = 225,443.44/x
  3. Step 3: Cross multiply
    416,430.10x = 574,672.82 × 225,443.44
  4. Step 4: Simplify right side
    416,430.10x = 129,556,217,415.30
  5. Step 5: Solve for x
    x = 129,556,217,415.30/416,430.10
  6. Step 6: Final answer
    x = 311,111.56

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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.