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Finding the Fourth Proportional to 284,539.57, 426,682.99 and 151,391.77

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Solution

The fourth proportional to 284,539.57, 426,682.99 and 151,391.77 is: 227,020.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,539.57 : 426,682.99 = 151,391.77 : x
  2. Step 2: Convert to fraction form
    284,539.57/426,682.99 = 151,391.77/x
  3. Step 3: Cross multiply
    284,539.57x = 426,682.99 × 151,391.77
  4. Step 4: Simplify right side
    284,539.57x = 64,596,290,573.10
  5. Step 5: Solve for x
    x = 64,596,290,573.10/284,539.57
  6. Step 6: Final answer
    x = 227,020.42

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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.