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Finding the Fourth Proportional to 310,213.14, 465,321.69 and 169,895.22

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Solution

The fourth proportional to 310,213.14, 465,321.69 and 169,895.22 is: 254,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,213.14 : 465,321.69 = 169,895.22 : x
  2. Step 2: Convert to fraction form
    310,213.14/465,321.69 = 169,895.22/x
  3. Step 3: Cross multiply
    310,213.14x = 465,321.69 × 169,895.22
  4. Step 4: Simplify right side
    310,213.14x = 79,055,930,893.32
  5. Step 5: Solve for x
    x = 79,055,930,893.32/310,213.14
  6. Step 6: Final answer
    x = 254,843.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.