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Finding the Fourth Proportional to 297,193.68, 410,120.10 and 164,582.82

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Solution

The fourth proportional to 297,193.68, 410,120.10 and 164,582.82 is: 227,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,193.68 : 410,120.10 = 164,582.82 : x
  2. Step 2: Convert to fraction form
    297,193.68/410,120.10 = 164,582.82/x
  3. Step 3: Cross multiply
    297,193.68x = 410,120.10 × 164,582.82
  4. Step 4: Simplify right side
    297,193.68x = 67,498,722,596.68
  5. Step 5: Solve for x
    x = 67,498,722,596.68/297,193.68
  6. Step 6: Final answer
    x = 227,120.32

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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.