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Finding the Fourth Proportional to 276,089.84, 413,872.34 and 175,969

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Solution

The fourth proportional to 276,089.84, 413,872.34 and 175,969 is: 263,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,089.84 : 413,872.34 = 175,969 : x
  2. Step 2: Convert to fraction form
    276,089.84/413,872.34 = 175,969/x
  3. Step 3: Cross multiply
    276,089.84x = 413,872.34 × 175,969
  4. Step 4: Simplify right side
    276,089.84x = 72,828,701,797.46
  5. Step 5: Solve for x
    x = 72,828,701,797.46/276,089.84
  6. Step 6: Final answer
    x = 263,786.24

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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.