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Finding the Fourth Proportional to 321,964.02, 482,946 and 111,601.92

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Solution

The fourth proportional to 321,964.02, 482,946 and 111,601.92 is: 167,402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,964.02 : 482,946 = 111,601.92 : x
  2. Step 2: Convert to fraction form
    321,964.02/482,946 = 111,601.92/x
  3. Step 3: Cross multiply
    321,964.02x = 482,946 × 111,601.92
  4. Step 4: Simplify right side
    321,964.02x = 53,897,700,856.32
  5. Step 5: Solve for x
    x = 53,897,700,856.32/321,964.02
  6. Step 6: Final answer
    x = 167,402.87

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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.