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Finding the Fourth Proportional to 273,581.70, 409,570.65 and 194,849.70

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Solution

The fourth proportional to 273,581.70, 409,570.65 and 194,849.70 is: 291,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,581.70 : 409,570.65 = 194,849.70 : x
  2. Step 2: Convert to fraction form
    273,581.70/409,570.65 = 194,849.70/x
  3. Step 3: Cross multiply
    273,581.70x = 409,570.65 × 194,849.70
  4. Step 4: Simplify right side
    273,581.70x = 79,804,718,281.31
  5. Step 5: Solve for x
    x = 79,804,718,281.31/273,581.70
  6. Step 6: Final answer
    x = 291,703.42

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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.