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Finding the Fourth Proportional to 296,159.91, 408,665.54 and 167,090.86

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Solution

The fourth proportional to 296,159.91, 408,665.54 and 167,090.86 is: 230,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,159.91 : 408,665.54 = 167,090.86 : x
  2. Step 2: Convert to fraction form
    296,159.91/408,665.54 = 167,090.86/x
  3. Step 3: Cross multiply
    296,159.91x = 408,665.54 × 167,090.86
  4. Step 4: Simplify right side
    296,159.91x = 68,284,274,487.64
  5. Step 5: Solve for x
    x = 68,284,274,487.64/296,159.91
  6. Step 6: Final answer
    x = 230,565.56

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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.