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Finding the Fourth Proportional to 298,677.24, 447,860.31 and 140,863.32

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Solution

The fourth proportional to 298,677.24, 447,860.31 and 140,863.32 is: 211,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,677.24 : 447,860.31 = 140,863.32 : x
  2. Step 2: Convert to fraction form
    298,677.24/447,860.31 = 140,863.32/x
  3. Step 3: Cross multiply
    298,677.24x = 447,860.31 × 140,863.32
  4. Step 4: Simplify right side
    298,677.24x = 63,087,090,162.83
  5. Step 5: Solve for x
    x = 63,087,090,162.83/298,677.24
  6. Step 6: Final answer
    x = 211,221.62

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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.