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Finding the Fourth Proportional to 340,283.49, 469,618.34 and 197,046.06

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Solution

The fourth proportional to 340,283.49, 469,618.34 and 197,046.06 is: 271,939.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,283.49 : 469,618.34 = 197,046.06 : x
  2. Step 2: Convert to fraction form
    340,283.49/469,618.34 = 197,046.06/x
  3. Step 3: Cross multiply
    340,283.49x = 469,618.34 × 197,046.06
  4. Step 4: Simplify right side
    340,283.49x = 92,536,443,600.74
  5. Step 5: Solve for x
    x = 92,536,443,600.74/340,283.49
  6. Step 6: Final answer
    x = 271,939.27

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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.