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Finding the Fourth Proportional to 664,677.54, 917,231.85 and 410,022.18

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Solution

The fourth proportional to 664,677.54, 917,231.85 and 410,022.18 is: 565,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,677.54 : 917,231.85 = 410,022.18 : x
  2. Step 2: Convert to fraction form
    664,677.54/917,231.85 = 410,022.18/x
  3. Step 3: Cross multiply
    664,677.54x = 917,231.85 × 410,022.18
  4. Step 4: Simplify right side
    664,677.54x = 376,085,402,702.43
  5. Step 5: Solve for x
    x = 376,085,402,702.43/664,677.54
  6. Step 6: Final answer
    x = 565,816.32

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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.