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Finding the Fourth Proportional to 427,901.68, 641,612.41 and 293,118.09

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Solution

The fourth proportional to 427,901.68, 641,612.41 and 293,118.09 is: 439,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,901.68 : 641,612.41 = 293,118.09 : x
  2. Step 2: Convert to fraction form
    427,901.68/641,612.41 = 293,118.09/x
  3. Step 3: Cross multiply
    427,901.68x = 641,612.41 × 293,118.09
  4. Step 4: Simplify right side
    427,901.68x = 188,068,199,465.84
  5. Step 5: Solve for x
    x = 188,068,199,465.84/427,901.68
  6. Step 6: Final answer
    x = 439,512.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.