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Finding the Fourth Proportional to 299,724.28, 447,400.05 and 261,889.88

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Solution

The fourth proportional to 299,724.28, 447,400.05 and 261,889.88 is: 390,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,724.28 : 447,400.05 = 261,889.88 : x
  2. Step 2: Convert to fraction form
    299,724.28/447,400.05 = 261,889.88/x
  3. Step 3: Cross multiply
    299,724.28x = 447,400.05 × 261,889.88
  4. Step 4: Simplify right side
    299,724.28x = 117,169,545,406.49
  5. Step 5: Solve for x
    x = 117,169,545,406.49/299,724.28
  6. Step 6: Final answer
    x = 390,924.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.