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Finding the Fourth Proportional to 354,552.24, 489,291.32 and 193,410

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Solution

The fourth proportional to 354,552.24, 489,291.32 and 193,410 is: 266,910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,552.24 : 489,291.32 = 193,410 : x
  2. Step 2: Convert to fraction form
    354,552.24/489,291.32 = 193,410/x
  3. Step 3: Cross multiply
    354,552.24x = 489,291.32 × 193,410
  4. Step 4: Simplify right side
    354,552.24x = 94,633,834,201.20
  5. Step 5: Solve for x
    x = 94,633,834,201.20/354,552.24
  6. Step 6: Final answer
    x = 266,910.83

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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.