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Finding the Fourth Proportional to 321,222.52, 482,528.94 and 208,844.92

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Solution

The fourth proportional to 321,222.52, 482,528.94 and 208,844.92 is: 313,719.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,222.52 : 482,528.94 = 208,844.92 : x
  2. Step 2: Convert to fraction form
    321,222.52/482,528.94 = 208,844.92/x
  3. Step 3: Cross multiply
    321,222.52x = 482,528.94 × 208,844.92
  4. Step 4: Simplify right side
    321,222.52x = 100,773,717,871.99
  5. Step 5: Solve for x
    x = 100,773,717,871.99/321,222.52
  6. Step 6: Final answer
    x = 313,719.34

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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.