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Finding the Fourth Proportional to 296,757.74, 409,525.10 and 160,795.37

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Solution

The fourth proportional to 296,757.74, 409,525.10 and 160,795.37 is: 221,897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,757.74 : 409,525.10 = 160,795.37 : x
  2. Step 2: Convert to fraction form
    296,757.74/409,525.10 = 160,795.37/x
  3. Step 3: Cross multiply
    296,757.74x = 409,525.10 × 160,795.37
  4. Step 4: Simplify right side
    296,757.74x = 65,849,737,127.18
  5. Step 5: Solve for x
    x = 65,849,737,127.18/296,757.74
  6. Step 6: Final answer
    x = 221,897.29

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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.