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Finding the Fourth Proportional to 407,846.60, 611,769.90 and 308,313.80

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Solution

The fourth proportional to 407,846.60, 611,769.90 and 308,313.80 is: 462,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,846.60 : 611,769.90 = 308,313.80 : x
  2. Step 2: Convert to fraction form
    407,846.60/611,769.90 = 308,313.80/x
  3. Step 3: Cross multiply
    407,846.60x = 611,769.90 × 308,313.80
  4. Step 4: Simplify right side
    407,846.60x = 188,617,102,594.62
  5. Step 5: Solve for x
    x = 188,617,102,594.62/407,846.60
  6. Step 6: Final answer
    x = 462,470.70

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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.