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Finding the Fourth Proportional to 294,038.98, 440,649.87 and 153,517.30

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Solution

The fourth proportional to 294,038.98, 440,649.87 and 153,517.30 is: 230,062.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,038.98 : 440,649.87 = 153,517.30 : x
  2. Step 2: Convert to fraction form
    294,038.98/440,649.87 = 153,517.30/x
  3. Step 3: Cross multiply
    294,038.98x = 440,649.87 × 153,517.30
  4. Step 4: Simplify right side
    294,038.98x = 67,647,378,287.75
  5. Step 5: Solve for x
    x = 67,647,378,287.75/294,038.98
  6. Step 6: Final answer
    x = 230,062.62

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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.