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Finding the Fourth Proportional to 293,433.91, 439,886.80 and 106,314.19

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Solution

The fourth proportional to 293,433.91, 439,886.80 and 106,314.19 is: 159,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,433.91 : 439,886.80 = 106,314.19 : x
  2. Step 2: Convert to fraction form
    293,433.91/439,886.80 = 106,314.19/x
  3. Step 3: Cross multiply
    293,433.91x = 439,886.80 × 106,314.19
  4. Step 4: Simplify right side
    293,433.91x = 46,766,207,866.87
  5. Step 5: Solve for x
    x = 46,766,207,866.87/293,433.91
  6. Step 6: Final answer
    x = 159,375.61

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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.