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Finding the Fourth Proportional to 296,485.25, 409,149.06 and 160,519.18

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Solution

The fourth proportional to 296,485.25, 409,149.06 and 160,519.18 is: 221,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,485.25 : 409,149.06 = 160,519.18 : x
  2. Step 2: Convert to fraction form
    296,485.25/409,149.06 = 160,519.18/x
  3. Step 3: Cross multiply
    296,485.25x = 409,149.06 × 160,519.18
  4. Step 4: Simplify right side
    296,485.25x = 65,676,270,586.10
  5. Step 5: Solve for x
    x = 65,676,270,586.10/296,485.25
  6. Step 6: Final answer
    x = 221,516.15

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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.