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Finding the Fourth Proportional to 280,738.40, 387,418.20 and 153,414.80

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Solution

The fourth proportional to 280,738.40, 387,418.20 and 153,414.80 is: 211,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,738.40 : 387,418.20 = 153,414.80 : x
  2. Step 2: Convert to fraction form
    280,738.40/387,418.20 = 153,414.80/x
  3. Step 3: Cross multiply
    280,738.40x = 387,418.20 × 153,414.80
  4. Step 4: Simplify right side
    280,738.40x = 59,435,685,669.36
  5. Step 5: Solve for x
    x = 59,435,685,669.36/280,738.40
  6. Step 6: Final answer
    x = 211,711.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.