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Finding the Fourth Proportional to 312,467.60, 468,685.72 and 110,073.74

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Solution

The fourth proportional to 312,467.60, 468,685.72 and 110,073.74 is: 165,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,467.60 : 468,685.72 = 110,073.74 : x
  2. Step 2: Convert to fraction form
    312,467.60/468,685.72 = 110,073.74/x
  3. Step 3: Cross multiply
    312,467.60x = 468,685.72 × 110,073.74
  4. Step 4: Simplify right side
    312,467.60x = 51,589,987,569.57
  5. Step 5: Solve for x
    x = 51,589,987,569.57/312,467.60
  6. Step 6: Final answer
    x = 165,105.08

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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.