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Finding the Fourth Proportional to 273,570.81, 410,500.68 and 194,122.17

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Solution

The fourth proportional to 273,570.81, 410,500.68 and 194,122.17 is: 291,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,570.81 : 410,500.68 = 194,122.17 : x
  2. Step 2: Convert to fraction form
    273,570.81/410,500.68 = 194,122.17/x
  3. Step 3: Cross multiply
    273,570.81x = 410,500.68 × 194,122.17
  4. Step 4: Simplify right side
    273,570.81x = 79,687,282,788.08
  5. Step 5: Solve for x
    x = 79,687,282,788.08/273,570.81
  6. Step 6: Final answer
    x = 291,285.77

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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.