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Finding the Fourth Proportional to 449,400.77, 674,094.32 and 133,857.69

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Solution

The fourth proportional to 449,400.77, 674,094.32 and 133,857.69 is: 200,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,400.77 : 674,094.32 = 133,857.69 : x
  2. Step 2: Convert to fraction form
    449,400.77/674,094.32 = 133,857.69/x
  3. Step 3: Cross multiply
    449,400.77x = 674,094.32 × 133,857.69
  4. Step 4: Simplify right side
    449,400.77x = 90,232,708,517.32
  5. Step 5: Solve for x
    x = 90,232,708,517.32/449,400.77
  6. Step 6: Final answer
    x = 200,784.50

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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.