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Finding the Fourth Proportional to 312,787.86, 431,895.69 and 288,905.82

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Solution

The fourth proportional to 312,787.86, 431,895.69 and 288,905.82 is: 398,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,787.86 : 431,895.69 = 288,905.82 : x
  2. Step 2: Convert to fraction form
    312,787.86/431,895.69 = 288,905.82/x
  3. Step 3: Cross multiply
    312,787.86x = 431,895.69 × 288,905.82
  4. Step 4: Simplify right side
    312,787.86x = 124,777,178,473.92
  5. Step 5: Solve for x
    x = 124,777,178,473.92/312,787.86
  6. Step 6: Final answer
    x = 398,919.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.