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Finding the Fourth Proportional to 296,515.67, 409,192.41 and 160,551.29

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Solution

The fourth proportional to 296,515.67, 409,192.41 and 160,551.29 is: 221,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,515.67 : 409,192.41 = 160,551.29 : x
  2. Step 2: Convert to fraction form
    296,515.67/409,192.41 = 160,551.29/x
  3. Step 3: Cross multiply
    296,515.67x = 409,192.41 × 160,551.29
  4. Step 4: Simplify right side
    296,515.67x = 65,696,367,237.75
  5. Step 5: Solve for x
    x = 65,696,367,237.75/296,515.67
  6. Step 6: Final answer
    x = 221,561.20

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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.