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Finding the Fourth Proportional to 273,662.28, 410,468.34 and 194,041.81

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Solution

The fourth proportional to 273,662.28, 410,468.34 and 194,041.81 is: 291,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,662.28 : 410,468.34 = 194,041.81 : x
  2. Step 2: Convert to fraction form
    273,662.28/410,468.34 = 194,041.81/x
  3. Step 3: Cross multiply
    273,662.28x = 410,468.34 × 194,041.81
  4. Step 4: Simplify right side
    273,662.28x = 79,648,020,882.04
  5. Step 5: Solve for x
    x = 79,648,020,882.04/273,662.28
  6. Step 6: Final answer
    x = 291,044.94

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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.