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Finding the Fourth Proportional to 465,550.36, 642,441.42 and 284,565.32

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Solution

The fourth proportional to 465,550.36, 642,441.42 and 284,565.32 is: 392,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,550.36 : 642,441.42 = 284,565.32 : x
  2. Step 2: Convert to fraction form
    465,550.36/642,441.42 = 284,565.32/x
  3. Step 3: Cross multiply
    465,550.36x = 642,441.42 × 284,565.32
  4. Step 4: Simplify right side
    465,550.36x = 182,816,548,263.55
  5. Step 5: Solve for x
    x = 182,816,548,263.55/465,550.36
  6. Step 6: Final answer
    x = 392,689.09

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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.