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Finding the Fourth Proportional to 273,283.84, 409,794.38 and 154,923.40

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Solution

The fourth proportional to 273,283.84, 409,794.38 and 154,923.40 is: 232,310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,283.84 : 409,794.38 = 154,923.40 : x
  2. Step 2: Convert to fraction form
    273,283.84/409,794.38 = 154,923.40/x
  3. Step 3: Cross multiply
    273,283.84x = 409,794.38 × 154,923.40
  4. Step 4: Simplify right side
    273,283.84x = 63,486,738,650.49
  5. Step 5: Solve for x
    x = 63,486,738,650.49/273,283.84
  6. Step 6: Final answer
    x = 232,310.62

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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.