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Finding the Fourth Proportional to 296,197.78, 408,742.77 and 168,914.34

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Solution

The fourth proportional to 296,197.78, 408,742.77 and 168,914.34 is: 233,095.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,197.78 : 408,742.77 = 168,914.34 : x
  2. Step 2: Convert to fraction form
    296,197.78/408,742.77 = 168,914.34/x
  3. Step 3: Cross multiply
    296,197.78x = 408,742.77 × 168,914.34
  4. Step 4: Simplify right side
    296,197.78x = 69,042,515,224.32
  5. Step 5: Solve for x
    x = 69,042,515,224.32/296,197.78
  6. Step 6: Final answer
    x = 233,095.99

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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.