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Finding the Fourth Proportional to 407,030.86, 610,639.30 and 140,791.14

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Solution

The fourth proportional to 407,030.86, 610,639.30 and 140,791.14 is: 211,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,030.86 : 610,639.30 = 140,791.14 : x
  2. Step 2: Convert to fraction form
    407,030.86/610,639.30 = 140,791.14/x
  3. Step 3: Cross multiply
    407,030.86x = 610,639.30 × 140,791.14
  4. Step 4: Simplify right side
    407,030.86x = 85,972,603,175.80
  5. Step 5: Solve for x
    x = 85,972,603,175.80/407,030.86
  6. Step 6: Final answer
    x = 211,218.88

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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.