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Finding the Fourth Proportional to 312,204.40, 468,305.91 and 241,230.16

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Solution

The fourth proportional to 312,204.40, 468,305.91 and 241,230.16 is: 361,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,204.40 : 468,305.91 = 241,230.16 : x
  2. Step 2: Convert to fraction form
    312,204.40/468,305.91 = 241,230.16/x
  3. Step 3: Cross multiply
    312,204.40x = 468,305.91 × 241,230.16
  4. Step 4: Simplify right side
    312,204.40x = 112,969,509,598.25
  5. Step 5: Solve for x
    x = 112,969,509,598.25/312,204.40
  6. Step 6: Final answer
    x = 361,844.71

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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.