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Finding the Fourth Proportional to 465,797.55, 642,614.00 and 293,658.87

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Solution

The fourth proportional to 465,797.55, 642,614.00 and 293,658.87 is: 405,131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,797.55 : 642,614.00 = 293,658.87 : x
  2. Step 2: Convert to fraction form
    465,797.55/642,614.00 = 293,658.87/x
  3. Step 3: Cross multiply
    465,797.55x = 642,614.00 × 293,658.87
  4. Step 4: Simplify right side
    465,797.55x = 188,709,299,617.89
  5. Step 5: Solve for x
    x = 188,709,299,617.89/465,797.55
  6. Step 6: Final answer
    x = 405,131.58

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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.