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Finding the Fourth Proportional to 321,927.60, 482,891.40 and 188,871.60

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Solution

The fourth proportional to 321,927.60, 482,891.40 and 188,871.60 is: 283,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,927.60 : 482,891.40 = 188,871.60 : x
  2. Step 2: Convert to fraction form
    321,927.60/482,891.40 = 188,871.60/x
  3. Step 3: Cross multiply
    321,927.60x = 482,891.40 × 188,871.60
  4. Step 4: Simplify right side
    321,927.60x = 91,204,471,344.24
  5. Step 5: Solve for x
    x = 91,204,471,344.24/321,927.60
  6. Step 6: Final answer
    x = 283,307.40

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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.