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Finding the Fourth Proportional to 432,383.72, 644,226.69 and 408,239.24

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Solution

The fourth proportional to 432,383.72, 644,226.69 and 408,239.24 is: 608,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,383.72 : 644,226.69 = 408,239.24 : x
  2. Step 2: Convert to fraction form
    432,383.72/644,226.69 = 408,239.24/x
  3. Step 3: Cross multiply
    432,383.72x = 644,226.69 × 408,239.24
  4. Step 4: Simplify right side
    432,383.72x = 262,998,614,313.32
  5. Step 5: Solve for x
    x = 262,998,614,313.32/432,383.72
  6. Step 6: Final answer
    x = 608,252.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.