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Finding the Fourth Proportional to 304,566.60, 420,161.13 and 197,171.40

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Solution

The fourth proportional to 304,566.60, 420,161.13 and 197,171.40 is: 272,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,566.60 : 420,161.13 = 197,171.40 : x
  2. Step 2: Convert to fraction form
    304,566.60/420,161.13 = 197,171.40/x
  3. Step 3: Cross multiply
    304,566.60x = 420,161.13 × 197,171.40
  4. Step 4: Simplify right side
    304,566.60x = 82,843,758,227.68
  5. Step 5: Solve for x
    x = 82,843,758,227.68/304,566.60
  6. Step 6: Final answer
    x = 272,005.39

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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.