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Finding the Fourth Proportional to 304,466.38, 456,701.46 and 79,824.79

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Solution

The fourth proportional to 304,466.38, 456,701.46 and 79,824.79 is: 119,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,466.38 : 456,701.46 = 79,824.79 : x
  2. Step 2: Convert to fraction form
    304,466.38/456,701.46 = 79,824.79/x
  3. Step 3: Cross multiply
    304,466.38x = 456,701.46 × 79,824.79
  4. Step 4: Simplify right side
    304,466.38x = 36,456,098,137.19
  5. Step 5: Solve for x
    x = 36,456,098,137.19/304,466.38
  6. Step 6: Final answer
    x = 119,737.68

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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.