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Finding the Fourth Proportional to 469,134.75, 647,402.31 and 254,269.29

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Solution

The fourth proportional to 469,134.75, 647,402.31 and 254,269.29 is: 350,889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,134.75 : 647,402.31 = 254,269.29 : x
  2. Step 2: Convert to fraction form
    469,134.75/647,402.31 = 254,269.29/x
  3. Step 3: Cross multiply
    469,134.75x = 647,402.31 × 254,269.29
  4. Step 4: Simplify right side
    469,134.75x = 164,614,525,708.06
  5. Step 5: Solve for x
    x = 164,614,525,708.06/469,134.75
  6. Step 6: Final answer
    x = 350,889.64

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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.