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Finding the Fourth Proportional to 513,664.39, 708,794.75 and 295,944.29

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Solution

The fourth proportional to 513,664.39, 708,794.75 and 295,944.29 is: 408,367.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,664.39 : 708,794.75 = 295,944.29 : x
  2. Step 2: Convert to fraction form
    513,664.39/708,794.75 = 295,944.29/x
  3. Step 3: Cross multiply
    513,664.39x = 708,794.75 × 295,944.29
  4. Step 4: Simplify right side
    513,664.39x = 209,763,759,044.48
  5. Step 5: Solve for x
    x = 209,763,759,044.48/513,664.39
  6. Step 6: Final answer
    x = 408,367.34

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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.