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Finding the Fourth Proportional to 303,833.68, 419,294.88 and 167,870.77

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Solution

The fourth proportional to 303,833.68, 419,294.88 and 167,870.77 is: 231,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,833.68 : 419,294.88 = 167,870.77 : x
  2. Step 2: Convert to fraction form
    303,833.68/419,294.88 = 167,870.77/x
  3. Step 3: Cross multiply
    303,833.68x = 419,294.88 × 167,870.77
  4. Step 4: Simplify right side
    303,833.68x = 70,387,353,314.42
  5. Step 5: Solve for x
    x = 70,387,353,314.42/303,833.68
  6. Step 6: Final answer
    x = 231,664.09

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Why These Related Problems?

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