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Finding the Fourth Proportional to 340,672.89, 470,024.52 and 197,405.25

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Solution

The fourth proportional to 340,672.89, 470,024.52 and 197,405.25 is: 272,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,672.89 : 470,024.52 = 197,405.25 : x
  2. Step 2: Convert to fraction form
    340,672.89/470,024.52 = 197,405.25/x
  3. Step 3: Cross multiply
    340,672.89x = 470,024.52 × 197,405.25
  4. Step 4: Simplify right side
    340,672.89x = 92,785,307,876.73
  5. Step 5: Solve for x
    x = 92,785,307,876.73/340,672.89
  6. Step 6: Final answer
    x = 272,358.94

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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.