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Finding the Fourth Proportional to 312,375.10, 468,453.30 and 162,565.60

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Solution

The fourth proportional to 312,375.10, 468,453.30 and 162,565.60 is: 243,791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,375.10 : 468,453.30 = 162,565.60 : x
  2. Step 2: Convert to fraction form
    312,375.10/468,453.30 = 162,565.60/x
  3. Step 3: Cross multiply
    312,375.10x = 468,453.30 × 162,565.60
  4. Step 4: Simplify right side
    312,375.10x = 76,154,391,786.48
  5. Step 5: Solve for x
    x = 76,154,391,786.48/312,375.10
  6. Step 6: Final answer
    x = 243,791.49

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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.