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Finding the Fourth Proportional to 489,334.95, 733,753.35 and 189,901.44

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Solution

The fourth proportional to 489,334.95, 733,753.35 and 189,901.44 is: 284,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,334.95 : 733,753.35 = 189,901.44 : x
  2. Step 2: Convert to fraction form
    489,334.95/733,753.35 = 189,901.44/x
  3. Step 3: Cross multiply
    489,334.95x = 733,753.35 × 189,901.44
  4. Step 4: Simplify right side
    489,334.95x = 139,340,817,769.82
  5. Step 5: Solve for x
    x = 139,340,817,769.82/489,334.95
  6. Step 6: Final answer
    x = 284,755.50

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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.