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Finding the Fourth Proportional to 284,458.91, 426,856.69 and 104,670.58

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Solution

The fourth proportional to 284,458.91, 426,856.69 and 104,670.58 is: 157,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,458.91 : 426,856.69 = 104,670.58 : x
  2. Step 2: Convert to fraction form
    284,458.91/426,856.69 = 104,670.58/x
  3. Step 3: Cross multiply
    284,458.91x = 426,856.69 × 104,670.58
  4. Step 4: Simplify right side
    284,458.91x = 44,679,335,990.36
  5. Step 5: Solve for x
    x = 44,679,335,990.36/284,458.91
  6. Step 6: Final answer
    x = 157,067.81

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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.