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Finding the Fourth Proportional to 312,034.20, 468,512.10 and 241,992.60

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Solution

The fourth proportional to 312,034.20, 468,512.10 and 241,992.60 is: 363,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,034.20 : 468,512.10 = 241,992.60 : x
  2. Step 2: Convert to fraction form
    312,034.20/468,512.10 = 241,992.60/x
  3. Step 3: Cross multiply
    312,034.20x = 468,512.10 × 241,992.60
  4. Step 4: Simplify right side
    312,034.20x = 113,376,461,210.46
  5. Step 5: Solve for x
    x = 113,376,461,210.46/312,034.20
  6. Step 6: Final answer
    x = 363,346.27

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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.