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Finding the Fourth Proportional to 273,640.50, 410,123.79 and 194,325.30

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Solution

The fourth proportional to 273,640.50, 410,123.79 and 194,325.30 is: 291,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,640.50 : 410,123.79 = 194,325.30 : x
  2. Step 2: Convert to fraction form
    273,640.50/410,123.79 = 194,325.30/x
  3. Step 3: Cross multiply
    273,640.50x = 410,123.79 × 194,325.30
  4. Step 4: Simplify right side
    273,640.50x = 79,697,428,528.89
  5. Step 5: Solve for x
    x = 79,697,428,528.89/273,640.50
  6. Step 6: Final answer
    x = 291,248.66

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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.