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Finding the Fourth Proportional to 296,483.10, 409,146.94 and 160,517.14

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Solution

The fourth proportional to 296,483.10, 409,146.94 and 160,517.14 is: 221,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,483.10 : 409,146.94 = 160,517.14 : x
  2. Step 2: Convert to fraction form
    296,483.10/409,146.94 = 160,517.14/x
  3. Step 3: Cross multiply
    296,483.10x = 409,146.94 × 160,517.14
  4. Step 4: Simplify right side
    296,483.10x = 65,675,096,648.55
  5. Step 5: Solve for x
    x = 65,675,096,648.55/296,483.10
  6. Step 6: Final answer
    x = 221,513.80

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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.