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Finding the Fourth Proportional to 284,019.75, 426,032.87 and 73,644.93

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Solution

The fourth proportional to 284,019.75, 426,032.87 and 73,644.93 is: 110,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,019.75 : 426,032.87 = 73,644.93 : x
  2. Step 2: Convert to fraction form
    284,019.75/426,032.87 = 73,644.93/x
  3. Step 3: Cross multiply
    284,019.75x = 426,032.87 × 73,644.93
  4. Step 4: Simplify right side
    284,019.75x = 31,375,160,520.62
  5. Step 5: Solve for x
    x = 31,375,160,520.62/284,019.75
  6. Step 6: Final answer
    x = 110,468.24

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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.