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Finding the Fourth Proportional to 646,594.60, 969,891.98 and 197,317.82

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Solution

The fourth proportional to 646,594.60, 969,891.98 and 197,317.82 is: 295,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,594.60 : 969,891.98 = 197,317.82 : x
  2. Step 2: Convert to fraction form
    646,594.60/969,891.98 = 197,317.82/x
  3. Step 3: Cross multiply
    646,594.60x = 969,891.98 × 197,317.82
  4. Step 4: Simplify right side
    646,594.60x = 191,376,972,567.22
  5. Step 5: Solve for x
    x = 191,376,972,567.22/646,594.60
  6. Step 6: Final answer
    x = 295,976.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.