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Finding the Fourth Proportional to 363,928.44, 546,199.38 and 153,717.24

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Solution

The fourth proportional to 363,928.44, 546,199.38 and 153,717.24 is: 230,705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,928.44 : 546,199.38 = 153,717.24 : x
  2. Step 2: Convert to fraction form
    363,928.44/546,199.38 = 153,717.24/x
  3. Step 3: Cross multiply
    363,928.44x = 546,199.38 × 153,717.24
  4. Step 4: Simplify right side
    363,928.44x = 83,960,261,183.31
  5. Step 5: Solve for x
    x = 83,960,261,183.31/363,928.44
  6. Step 6: Final answer
    x = 230,705.41

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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.