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Finding the Fourth Proportional to 496,111.52, 684,651.92 and 284,184.48

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Solution

The fourth proportional to 496,111.52, 684,651.92 and 284,184.48 is: 392,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,111.52 : 684,651.92 = 284,184.48 : x
  2. Step 2: Convert to fraction form
    496,111.52/684,651.92 = 284,184.48/x
  3. Step 3: Cross multiply
    496,111.52x = 684,651.92 × 284,184.48
  4. Step 4: Simplify right side
    496,111.52x = 194,567,449,866.20
  5. Step 5: Solve for x
    x = 194,567,449,866.20/496,111.52
  6. Step 6: Final answer
    x = 392,184.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.