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Finding the Fourth Proportional to 466,735.82, 644,108.46 and 285,444.50

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Solution

The fourth proportional to 466,735.82, 644,108.46 and 285,444.50 is: 393,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,735.82 : 644,108.46 = 285,444.50 : x
  2. Step 2: Convert to fraction form
    466,735.82/644,108.46 = 285,444.50/x
  3. Step 3: Cross multiply
    466,735.82x = 644,108.46 × 285,444.50
  4. Step 4: Simplify right side
    466,735.82x = 183,857,217,310.47
  5. Step 5: Solve for x
    x = 183,857,217,310.47/466,735.82
  6. Step 6: Final answer
    x = 393,921.38

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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.