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Finding the Fourth Proportional to 296,571.02, 409,265.98 and 160,601.86

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Solution

The fourth proportional to 296,571.02, 409,265.98 and 160,601.86 is: 221,629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,571.02 : 409,265.98 = 160,601.86 : x
  2. Step 2: Convert to fraction form
    296,571.02/409,265.98 = 160,601.86/x
  3. Step 3: Cross multiply
    296,571.02x = 409,265.98 × 160,601.86
  4. Step 4: Simplify right side
    296,571.02x = 65,728,877,622.72
  5. Step 5: Solve for x
    x = 65,728,877,622.72/296,571.02
  6. Step 6: Final answer
    x = 221,629.47

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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.