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Finding the Fourth Proportional to 276,644.05, 414,300.83 and 157,955.65

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Solution

The fourth proportional to 276,644.05, 414,300.83 and 157,955.65 is: 236,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,644.05 : 414,300.83 = 157,955.65 : x
  2. Step 2: Convert to fraction form
    276,644.05/414,300.83 = 157,955.65/x
  3. Step 3: Cross multiply
    276,644.05x = 414,300.83 × 157,955.65
  4. Step 4: Simplify right side
    276,644.05x = 65,441,156,898.19
  5. Step 5: Solve for x
    x = 65,441,156,898.19/276,644.05
  6. Step 6: Final answer
    x = 236,553.64

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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.