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Finding the Fourth Proportional to 296,517.49, 409,192.42 and 160,548.63

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Solution

The fourth proportional to 296,517.49, 409,192.42 and 160,548.63 is: 221,556.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,517.49 : 409,192.42 = 160,548.63 : x
  2. Step 2: Convert to fraction form
    296,517.49/409,192.42 = 160,548.63/x
  3. Step 3: Cross multiply
    296,517.49x = 409,192.42 × 160,548.63
  4. Step 4: Simplify right side
    296,517.49x = 65,695,282,437.38
  5. Step 5: Solve for x
    x = 65,695,282,437.38/296,517.49
  6. Step 6: Final answer
    x = 221,556.18

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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.