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Finding the Fourth Proportional to 522,154.33, 782,625.33 and 197,736.19

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Solution

The fourth proportional to 522,154.33, 782,625.33 and 197,736.19 is: 296,374.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,154.33 : 782,625.33 = 197,736.19 : x
  2. Step 2: Convert to fraction form
    522,154.33/782,625.33 = 197,736.19/x
  3. Step 3: Cross multiply
    522,154.33x = 782,625.33 × 197,736.19
  4. Step 4: Simplify right side
    522,154.33x = 154,753,347,038.57
  5. Step 5: Solve for x
    x = 154,753,347,038.57/522,154.33
  6. Step 6: Final answer
    x = 296,374.73

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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.