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Finding the Fourth Proportional to 494,366.48, 741,607.32 and 178,971.92

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Solution

The fourth proportional to 494,366.48, 741,607.32 and 178,971.92 is: 268,478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,366.48 : 741,607.32 = 178,971.92 : x
  2. Step 2: Convert to fraction form
    494,366.48/741,607.32 = 178,971.92/x
  3. Step 3: Cross multiply
    494,366.48x = 741,607.32 × 178,971.92
  4. Step 4: Simplify right side
    494,366.48x = 132,726,885,946.45
  5. Step 5: Solve for x
    x = 132,726,885,946.45/494,366.48
  6. Step 6: Final answer
    x = 268,478.73

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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.