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Finding the Fourth Proportional to 350,122.36, 524,843.46 and 278,871.16

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Solution

The fourth proportional to 350,122.36, 524,843.46 and 278,871.16 is: 418,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,122.36 : 524,843.46 = 278,871.16 : x
  2. Step 2: Convert to fraction form
    350,122.36/524,843.46 = 278,871.16/x
  3. Step 3: Cross multiply
    350,122.36x = 524,843.46 × 278,871.16
  4. Step 4: Simplify right side
    350,122.36x = 146,363,704,508.61
  5. Step 5: Solve for x
    x = 146,363,704,508.61/350,122.36
  6. Step 6: Final answer
    x = 418,035.87

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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.