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Finding the Fourth Proportional to 312,551.46, 468,825.16 and 75,892.54

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Solution

The fourth proportional to 312,551.46, 468,825.16 and 75,892.54 is: 113,838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,551.46 : 468,825.16 = 75,892.54 : x
  2. Step 2: Convert to fraction form
    312,551.46/468,825.16 = 75,892.54/x
  3. Step 3: Cross multiply
    312,551.46x = 468,825.16 × 75,892.54
  4. Step 4: Simplify right side
    312,551.46x = 35,580,332,208.31
  5. Step 5: Solve for x
    x = 35,580,332,208.31/312,551.46
  6. Step 6: Final answer
    x = 113,838.32

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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.