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Finding the Fourth Proportional to 541,441.24, 812,960.25 and 302,022.94

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Solution

The fourth proportional to 541,441.24, 812,960.25 and 302,022.94 is: 453,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,441.24 : 812,960.25 = 302,022.94 : x
  2. Step 2: Convert to fraction form
    541,441.24/812,960.25 = 302,022.94/x
  3. Step 3: Cross multiply
    541,441.24x = 812,960.25 × 302,022.94
  4. Step 4: Simplify right side
    541,441.24x = 245,532,644,808.14
  5. Step 5: Solve for x
    x = 245,532,644,808.14/541,441.24
  6. Step 6: Final answer
    x = 453,479.76

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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.