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Finding the Fourth Proportional to 408,515.70, 612,044.55 and 197,688.90

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Solution

The fourth proportional to 408,515.70, 612,044.55 and 197,688.90 is: 296,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,515.70 : 612,044.55 = 197,688.90 : x
  2. Step 2: Convert to fraction form
    408,515.70/612,044.55 = 197,688.90/x
  3. Step 3: Cross multiply
    408,515.70x = 612,044.55 × 197,688.90
  4. Step 4: Simplify right side
    408,515.70x = 120,994,413,840.50
  5. Step 5: Solve for x
    x = 120,994,413,840.50/408,515.70
  6. Step 6: Final answer
    x = 296,180.57

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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.