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Finding the Fourth Proportional to 273,624.40, 410,580.78 and 194,175.46

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Solution

The fourth proportional to 273,624.40, 410,580.78 and 194,175.46 is: 291,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,624.40 : 410,580.78 = 194,175.46 : x
  2. Step 2: Convert to fraction form
    273,624.40/410,580.78 = 194,175.46/x
  3. Step 3: Cross multiply
    273,624.40x = 410,580.78 × 194,175.46
  4. Step 4: Simplify right side
    273,624.40x = 79,724,711,823.66
  5. Step 5: Solve for x
    x = 79,724,711,823.66/273,624.40
  6. Step 6: Final answer
    x = 291,365.51

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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.