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Finding the Fourth Proportional to 296,502.29, 409,172.55 and 160,536.36

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Solution

The fourth proportional to 296,502.29, 409,172.55 and 160,536.36 is: 221,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,502.29 : 409,172.55 = 160,536.36 : x
  2. Step 2: Convert to fraction form
    296,502.29/409,172.55 = 160,536.36/x
  3. Step 3: Cross multiply
    296,502.29x = 409,172.55 × 160,536.36
  4. Step 4: Simplify right side
    296,502.29x = 65,687,072,721.30
  5. Step 5: Solve for x
    x = 65,687,072,721.30/296,502.29
  6. Step 6: Final answer
    x = 221,539.85

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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.