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Finding the Fourth Proportional to 234,544, 351,816.28 and 57,049.78

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Solution

The fourth proportional to 234,544, 351,816.28 and 57,049.78 is: 85,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,544 : 351,816.28 = 57,049.78 : x
  2. Step 2: Convert to fraction form
    234,544/351,816.28 = 57,049.78/x
  3. Step 3: Cross multiply
    234,544x = 351,816.28 × 57,049.78
  4. Step 4: Simplify right side
    234,544x = 20,071,041,374.42
  5. Step 5: Solve for x
    x = 20,071,041,374.42/234,544
  6. Step 6: Final answer
    x = 85,574.74

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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.