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Finding the Fourth Proportional to 296,047.41, 408,520.75 and 166,978.77

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Solution

The fourth proportional to 296,047.41, 408,520.75 and 166,978.77 is: 230,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,047.41 : 408,520.75 = 166,978.77 : x
  2. Step 2: Convert to fraction form
    296,047.41/408,520.75 = 166,978.77/x
  3. Step 3: Cross multiply
    296,047.41x = 408,520.75 × 166,978.77
  4. Step 4: Simplify right side
    296,047.41x = 68,214,292,354.48
  5. Step 5: Solve for x
    x = 68,214,292,354.48/296,047.41
  6. Step 6: Final answer
    x = 230,416.78

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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.