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Finding the Fourth Proportional to 340,246.98, 469,510.26 and 197,016.66

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Solution

The fourth proportional to 340,246.98, 469,510.26 and 197,016.66 is: 271,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,246.98 : 469,510.26 = 197,016.66 : x
  2. Step 2: Convert to fraction form
    340,246.98/469,510.26 = 197,016.66/x
  3. Step 3: Cross multiply
    340,246.98x = 469,510.26 × 197,016.66
  4. Step 4: Simplify right side
    340,246.98x = 92,501,343,260.93
  5. Step 5: Solve for x
    x = 92,501,343,260.93/340,246.98
  6. Step 6: Final answer
    x = 271,865.29

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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.