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Finding the Fourth Proportional to 563,906.42, 778,118.93 and 322,204.64

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Solution

The fourth proportional to 563,906.42, 778,118.93 and 322,204.64 is: 444,601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,906.42 : 778,118.93 = 322,204.64 : x
  2. Step 2: Convert to fraction form
    563,906.42/778,118.93 = 322,204.64/x
  3. Step 3: Cross multiply
    563,906.42x = 778,118.93 × 322,204.64
  4. Step 4: Simplify right side
    563,906.42x = 250,713,530,052.11
  5. Step 5: Solve for x
    x = 250,713,530,052.11/563,906.42
  6. Step 6: Final answer
    x = 444,601.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.