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Finding the Fourth Proportional to 469,105.42, 647,362.92 and 254,243.20

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Solution

The fourth proportional to 469,105.42, 647,362.92 and 254,243.20 is: 350,854.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,105.42 : 647,362.92 = 254,243.20 : x
  2. Step 2: Convert to fraction form
    469,105.42/647,362.92 = 254,243.20/x
  3. Step 3: Cross multiply
    469,105.42x = 647,362.92 × 254,243.20
  4. Step 4: Simplify right side
    469,105.42x = 164,587,620,342.14
  5. Step 5: Solve for x
    x = 164,587,620,342.14/469,105.42
  6. Step 6: Final answer
    x = 350,854.23

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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.