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Finding the Fourth Proportional to 285,658.11, 394,194.60 and 164,838.24

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Solution

The fourth proportional to 285,658.11, 394,194.60 and 164,838.24 is: 227,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,658.11 : 394,194.60 = 164,838.24 : x
  2. Step 2: Convert to fraction form
    285,658.11/394,194.60 = 164,838.24/x
  3. Step 3: Cross multiply
    285,658.11x = 394,194.60 × 164,838.24
  4. Step 4: Simplify right side
    285,658.11x = 64,978,344,081.50
  5. Step 5: Solve for x
    x = 64,978,344,081.50/285,658.11
  6. Step 6: Final answer
    x = 227,468.93

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1.5x scale

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.