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Finding the Fourth Proportional to 498,059.99, 687,302.42 and 294,176.91

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Solution

The fourth proportional to 498,059.99, 687,302.42 and 294,176.91 is: 405,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,059.99 : 687,302.42 = 294,176.91 : x
  2. Step 2: Convert to fraction form
    498,059.99/687,302.42 = 294,176.91/x
  3. Step 3: Cross multiply
    498,059.99x = 687,302.42 × 294,176.91
  4. Step 4: Simplify right side
    498,059.99x = 202,188,503,257.62
  5. Step 5: Solve for x
    x = 202,188,503,257.62/498,059.99
  6. Step 6: Final answer
    x = 405,952.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.