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Finding the Fourth Proportional to 312,244.32, 468,441.28 and 101,882.72

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Solution

The fourth proportional to 312,244.32, 468,441.28 and 101,882.72 is: 152,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,244.32 : 468,441.28 = 101,882.72 : x
  2. Step 2: Convert to fraction form
    312,244.32/468,441.28 = 101,882.72/x
  3. Step 3: Cross multiply
    312,244.32x = 468,441.28 × 101,882.72
  4. Step 4: Simplify right side
    312,244.32x = 47,726,071,766.68
  5. Step 5: Solve for x
    x = 47,726,071,766.68/312,244.32
  6. Step 6: Final answer
    x = 152,848.49

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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.