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Finding the Fourth Proportional to 296,076.98, 408,586.41 and 160,110.92

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Solution

The fourth proportional to 296,076.98, 408,586.41 and 160,110.92 is: 220,953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,076.98 : 408,586.41 = 160,110.92 : x
  2. Step 2: Convert to fraction form
    296,076.98/408,586.41 = 160,110.92/x
  3. Step 3: Cross multiply
    296,076.98x = 408,586.41 × 160,110.92
  4. Step 4: Simplify right side
    296,076.98x = 65,419,144,893.45
  5. Step 5: Solve for x
    x = 65,419,144,893.45/296,076.98
  6. Step 6: Final answer
    x = 220,953.16

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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.