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Finding the Fourth Proportional to 553,384.65, 829,952.33 and 361,198.56

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Solution

The fourth proportional to 553,384.65, 829,952.33 and 361,198.56 is: 541,716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,384.65 : 829,952.33 = 361,198.56 : x
  2. Step 2: Convert to fraction form
    553,384.65/829,952.33 = 361,198.56/x
  3. Step 3: Cross multiply
    553,384.65x = 829,952.33 × 361,198.56
  4. Step 4: Simplify right side
    553,384.65x = 299,777,584,658.65
  5. Step 5: Solve for x
    x = 299,777,584,658.65/553,384.65
  6. Step 6: Final answer
    x = 541,716.48

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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.