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Finding the Fourth Proportional to 309,693.60, 464,540.40 and 169,725.60

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Solution

The fourth proportional to 309,693.60, 464,540.40 and 169,725.60 is: 254,588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,693.60 : 464,540.40 = 169,725.60 : x
  2. Step 2: Convert to fraction form
    309,693.60/464,540.40 = 169,725.60/x
  3. Step 3: Cross multiply
    309,693.60x = 464,540.40 × 169,725.60
  4. Step 4: Simplify right side
    309,693.60x = 78,844,398,114.24
  5. Step 5: Solve for x
    x = 78,844,398,114.24/309,693.60
  6. Step 6: Final answer
    x = 254,588.40

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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.