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Finding the Fourth Proportional to 276,011.84, 413,353.44 and 186,995.48

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Solution

The fourth proportional to 276,011.84, 413,353.44 and 186,995.48 is: 280,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,011.84 : 413,353.44 = 186,995.48 : x
  2. Step 2: Convert to fraction form
    276,011.84/413,353.44 = 186,995.48/x
  3. Step 3: Cross multiply
    276,011.84x = 413,353.44 × 186,995.48
  4. Step 4: Simplify right side
    276,011.84x = 77,295,224,922.45
  5. Step 5: Solve for x
    x = 77,295,224,922.45/276,011.84
  6. Step 6: Final answer
    x = 280,043.15

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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.