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Finding the Fourth Proportional to 273,283.39, 409,084.32 and 178,309.07

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Solution

The fourth proportional to 273,283.39, 409,084.32 and 178,309.07 is: 266,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,283.39 : 409,084.32 = 178,309.07 : x
  2. Step 2: Convert to fraction form
    273,283.39/409,084.32 = 178,309.07/x
  3. Step 3: Cross multiply
    273,283.39x = 409,084.32 × 178,309.07
  4. Step 4: Simplify right side
    273,283.39x = 72,943,441,713.82
  5. Step 5: Solve for x
    x = 72,943,441,713.82/273,283.39
  6. Step 6: Final answer
    x = 266,915.03

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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.