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Finding the Fourth Proportional to 312,785.20, 469,523.40 and 172,817.20

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Solution

The fourth proportional to 312,785.20, 469,523.40 and 172,817.20 is: 259,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,785.20 : 469,523.40 = 172,817.20 : x
  2. Step 2: Convert to fraction form
    312,785.20/469,523.40 = 172,817.20/x
  3. Step 3: Cross multiply
    312,785.20x = 469,523.40 × 172,817.20
  4. Step 4: Simplify right side
    312,785.20x = 81,141,719,322.48
  5. Step 5: Solve for x
    x = 81,141,719,322.48/312,785.20
  6. Step 6: Final answer
    x = 259,416.75

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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.