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Finding the Fourth Proportional to 414,328.68, 572,336.42 and 324,814.77

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Solution

The fourth proportional to 414,328.68, 572,336.42 and 324,814.77 is: 448,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,328.68 : 572,336.42 = 324,814.77 : x
  2. Step 2: Convert to fraction form
    414,328.68/572,336.42 = 324,814.77/x
  3. Step 3: Cross multiply
    414,328.68x = 572,336.42 × 324,814.77
  4. Step 4: Simplify right side
    414,328.68x = 185,903,321,000.85
  5. Step 5: Solve for x
    x = 185,903,321,000.85/414,328.68
  6. Step 6: Final answer
    x = 448,685.62

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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.