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Finding the Fourth Proportional to 276,009.84, 413,350.44 and 186,993.47

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Solution

The fourth proportional to 276,009.84, 413,350.44 and 186,993.47 is: 280,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,009.84 : 413,350.44 = 186,993.47 : x
  2. Step 2: Convert to fraction form
    276,009.84/413,350.44 = 186,993.47/x
  3. Step 3: Cross multiply
    276,009.84x = 413,350.44 × 186,993.47
  4. Step 4: Simplify right side
    276,009.84x = 77,293,835,066.89
  5. Step 5: Solve for x
    x = 77,293,835,066.89/276,009.84
  6. Step 6: Final answer
    x = 280,040.14

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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.