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Finding the Fourth Proportional to 466,727.32, 644,096.73 and 285,436

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Solution

The fourth proportional to 466,727.32, 644,096.73 and 285,436 is: 393,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,727.32 : 644,096.73 = 285,436 : x
  2. Step 2: Convert to fraction form
    466,727.32/644,096.73 = 285,436/x
  3. Step 3: Cross multiply
    466,727.32x = 644,096.73 × 285,436
  4. Step 4: Simplify right side
    466,727.32x = 183,848,394,224.28
  5. Step 5: Solve for x
    x = 183,848,394,224.28/466,727.32
  6. Step 6: Final answer
    x = 393,909.65

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