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Finding the Fourth Proportional to 469,104.92, 647,362.23 and 254,242.70

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Solution

The fourth proportional to 469,104.92, 647,362.23 and 254,242.70 is: 350,853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,104.92 : 647,362.23 = 254,242.70 : x
  2. Step 2: Convert to fraction form
    469,104.92/647,362.23 = 254,242.70/x
  3. Step 3: Cross multiply
    469,104.92x = 647,362.23 × 254,242.70
  4. Step 4: Simplify right side
    469,104.92x = 164,587,121,233.22
  5. Step 5: Solve for x
    x = 164,587,121,233.22/469,104.92
  6. Step 6: Final answer
    x = 350,853.54

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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.