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Finding the Fourth Proportional to 312,291, 468,449.46 and 90,675

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Solution

The fourth proportional to 312,291, 468,449.46 and 90,675 is: 136,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,291 : 468,449.46 = 90,675 : x
  2. Step 2: Convert to fraction form
    312,291/468,449.46 = 90,675/x
  3. Step 3: Cross multiply
    312,291x = 468,449.46 × 90,675
  4. Step 4: Simplify right side
    312,291x = 42,476,654,785.50
  5. Step 5: Solve for x
    x = 42,476,654,785.50/312,291
  6. Step 6: Final answer
    x = 136,016.26

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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.