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Finding the Fourth Proportional to 466,896.21, 642,960.05 and 405,614.42

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Solution

The fourth proportional to 466,896.21, 642,960.05 and 405,614.42 is: 558,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,896.21 : 642,960.05 = 405,614.42 : x
  2. Step 2: Convert to fraction form
    466,896.21/642,960.05 = 405,614.42/x
  3. Step 3: Cross multiply
    466,896.21x = 642,960.05 × 405,614.42
  4. Step 4: Simplify right side
    466,896.21x = 260,793,865,142.49
  5. Step 5: Solve for x
    x = 260,793,865,142.49/466,896.21
  6. Step 6: Final answer
    x = 558,569.25

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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.