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Finding the Fourth Proportional to 296,522.97, 409,231 and 169,217.70

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Solution

The fourth proportional to 296,522.97, 409,231 and 169,217.70 is: 233,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,522.97 : 409,231 = 169,217.70 : x
  2. Step 2: Convert to fraction form
    296,522.97/409,231 = 169,217.70/x
  3. Step 3: Cross multiply
    296,522.97x = 409,231 × 169,217.70
  4. Step 4: Simplify right side
    296,522.97x = 69,249,128,588.70
  5. Step 5: Solve for x
    x = 69,249,128,588.70/296,522.97
  6. Step 6: Final answer
    x = 233,537.15

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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.