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Finding the Fourth Proportional to 449,411.76, 674,214.84 and 133,894.08

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Solution

The fourth proportional to 449,411.76, 674,214.84 and 133,894.08 is: 200,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,411.76 : 674,214.84 = 133,894.08 : x
  2. Step 2: Convert to fraction form
    449,411.76/674,214.84 = 133,894.08/x
  3. Step 3: Cross multiply
    449,411.76x = 674,214.84 × 133,894.08
  4. Step 4: Simplify right side
    449,411.76x = 90,273,375,724.15
  5. Step 5: Solve for x
    x = 90,273,375,724.15/449,411.76
  6. Step 6: Final answer
    x = 200,870.08

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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.