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Finding the Fourth Proportional to 399,235.20, 599,083.20 and 149,942.40

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Solution

The fourth proportional to 399,235.20, 599,083.20 and 149,942.40 is: 225,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,235.20 : 599,083.20 = 149,942.40 : x
  2. Step 2: Convert to fraction form
    399,235.20/599,083.20 = 149,942.40/x
  3. Step 3: Cross multiply
    399,235.20x = 599,083.20 × 149,942.40
  4. Step 4: Simplify right side
    399,235.20x = 89,827,972,807.68
  5. Step 5: Solve for x
    x = 89,827,972,807.68/399,235.20
  6. Step 6: Final answer
    x = 225,000.13

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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.