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Finding the Fourth Proportional to 298,590.57, 412,054.98 and 164,454.57

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Solution

The fourth proportional to 298,590.57, 412,054.98 and 164,454.57 is: 226,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,590.57 : 412,054.98 = 164,454.57 : x
  2. Step 2: Convert to fraction form
    298,590.57/412,054.98 = 164,454.57/x
  3. Step 3: Cross multiply
    298,590.57x = 412,054.98 × 164,454.57
  4. Step 4: Simplify right side
    298,590.57x = 67,764,324,552.26
  5. Step 5: Solve for x
    x = 67,764,324,552.26/298,590.57
  6. Step 6: Final answer
    x = 226,947.30

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1.5x scale

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.