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Finding the Fourth Proportional to 494,448.90, 741,630.15 and 162,024.90

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Solution

The fourth proportional to 494,448.90, 741,630.15 and 162,024.90 is: 243,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,448.90 : 741,630.15 = 162,024.90 : x
  2. Step 2: Convert to fraction form
    494,448.90/741,630.15 = 162,024.90/x
  3. Step 3: Cross multiply
    494,448.90x = 741,630.15 × 162,024.90
  4. Step 4: Simplify right side
    494,448.90x = 120,162,550,890.74
  5. Step 5: Solve for x
    x = 120,162,550,890.74/494,448.90
  6. Step 6: Final answer
    x = 243,023.19

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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.