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Finding the Fourth Proportional to 363,969.90, 546,104.79 and 150,780.74

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Solution

The fourth proportional to 363,969.90, 546,104.79 and 150,780.74 is: 226,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,969.90 : 546,104.79 = 150,780.74 : x
  2. Step 2: Convert to fraction form
    363,969.90/546,104.79 = 150,780.74/x
  3. Step 3: Cross multiply
    363,969.90x = 546,104.79 × 150,780.74
  4. Step 4: Simplify right side
    363,969.90x = 82,342,081,623.22
  5. Step 5: Solve for x
    x = 82,342,081,623.22/363,969.90
  6. Step 6: Final answer
    x = 226,233.22

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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.