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Finding the Fourth Proportional to 517,574.65, 775,900.25 and 201,958.15

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Solution

The fourth proportional to 517,574.65, 775,900.25 and 201,958.15 is: 302,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,574.65 : 775,900.25 = 201,958.15 : x
  2. Step 2: Convert to fraction form
    517,574.65/775,900.25 = 201,958.15/x
  3. Step 3: Cross multiply
    517,574.65x = 775,900.25 × 201,958.15
  4. Step 4: Simplify right side
    517,574.65x = 156,699,378,064.75
  5. Step 5: Solve for x
    x = 156,699,378,064.75/517,574.65
  6. Step 6: Final answer
    x = 302,757.06

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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.