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Finding the Fourth Proportional to 304,224.72, 456,391.62 and 104,493.30

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Solution

The fourth proportional to 304,224.72, 456,391.62 and 104,493.30 is: 156,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,224.72 : 456,391.62 = 104,493.30 : x
  2. Step 2: Convert to fraction form
    304,224.72/456,391.62 = 104,493.30/x
  3. Step 3: Cross multiply
    304,224.72x = 456,391.62 × 104,493.30
  4. Step 4: Simplify right side
    304,224.72x = 47,689,866,466.15
  5. Step 5: Solve for x
    x = 47,689,866,466.15/304,224.72
  6. Step 6: Final answer
    x = 156,758.68

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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.