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Finding the Fourth Proportional to 465,944.60, 697,892.42 and 385,065.92

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Solution

The fourth proportional to 465,944.60, 697,892.42 and 385,065.92 is: 576,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,944.60 : 697,892.42 = 385,065.92 : x
  2. Step 2: Convert to fraction form
    465,944.60/697,892.42 = 385,065.92/x
  3. Step 3: Cross multiply
    465,944.60x = 697,892.42 × 385,065.92
  4. Step 4: Simplify right side
    465,944.60x = 268,734,581,353.54
  5. Step 5: Solve for x
    x = 268,734,581,353.54/465,944.60
  6. Step 6: Final answer
    x = 576,752.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.