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Finding the Fourth Proportional to 340,281.74, 469,615.92 and 197,044.31

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Solution

The fourth proportional to 340,281.74, 469,615.92 and 197,044.31 is: 271,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,281.74 : 469,615.92 = 197,044.31 : x
  2. Step 2: Convert to fraction form
    340,281.74/469,615.92 = 197,044.31/x
  3. Step 3: Cross multiply
    340,281.74x = 469,615.92 × 197,044.31
  4. Step 4: Simplify right side
    340,281.74x = 92,535,144,921.42
  5. Step 5: Solve for x
    x = 92,535,144,921.42/340,281.74
  6. Step 6: Final answer
    x = 271,936.85

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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.