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Finding the Fourth Proportional to 296,537.73, 409,220.20 and 160,568.80

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Solution

The fourth proportional to 296,537.73, 409,220.20 and 160,568.80 is: 221,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,537.73 : 409,220.20 = 160,568.80 : x
  2. Step 2: Convert to fraction form
    296,537.73/409,220.20 = 160,568.80/x
  3. Step 3: Cross multiply
    296,537.73x = 409,220.20 × 160,568.80
  4. Step 4: Simplify right side
    296,537.73x = 65,707,996,449.76
  5. Step 5: Solve for x
    x = 65,707,996,449.76/296,537.73
  6. Step 6: Final answer
    x = 221,583.93

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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.