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Finding the Fourth Proportional to 452,512.24, 678,777 and 136,967.92

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Solution

The fourth proportional to 452,512.24, 678,777 and 136,967.92 is: 205,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,512.24 : 678,777 = 136,967.92 : x
  2. Step 2: Convert to fraction form
    452,512.24/678,777 = 136,967.92/x
  3. Step 3: Cross multiply
    452,512.24x = 678,777 × 136,967.92
  4. Step 4: Simplify right side
    452,512.24x = 92,970,673,833.84
  5. Step 5: Solve for x
    x = 92,970,673,833.84/452,512.24
  6. Step 6: Final answer
    x = 205,454.50

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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.