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Finding the Fourth Proportional to 273,400.60, 410,100.90 and 178,923.80

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Solution

The fourth proportional to 273,400.60, 410,100.90 and 178,923.80 is: 268,385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,400.60 : 410,100.90 = 178,923.80 : x
  2. Step 2: Convert to fraction form
    273,400.60/410,100.90 = 178,923.80/x
  3. Step 3: Cross multiply
    273,400.60x = 410,100.90 × 178,923.80
  4. Step 4: Simplify right side
    273,400.60x = 73,376,811,411.42
  5. Step 5: Solve for x
    x = 73,376,811,411.42/273,400.60
  6. Step 6: Final answer
    x = 268,385.70

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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.