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Finding the Fourth Proportional to 464,144.58, 696,252.51 and 197,906.49

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Solution

The fourth proportional to 464,144.58, 696,252.51 and 197,906.49 is: 296,874.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,144.58 : 696,252.51 = 197,906.49 : x
  2. Step 2: Convert to fraction form
    464,144.58/696,252.51 = 197,906.49/x
  3. Step 3: Cross multiply
    464,144.58x = 696,252.51 × 197,906.49
  4. Step 4: Simplify right side
    464,144.58x = 137,792,890,407.79
  5. Step 5: Solve for x
    x = 137,792,890,407.79/464,144.58
  6. Step 6: Final answer
    x = 296,874.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.