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Finding the Fourth Proportional to 413,863.50, 621,031.11 and 161,111.25

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Solution

The fourth proportional to 413,863.50, 621,031.11 and 161,111.25 is: 241,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,863.50 : 621,031.11 = 161,111.25 : x
  2. Step 2: Convert to fraction form
    413,863.50/621,031.11 = 161,111.25/x
  3. Step 3: Cross multiply
    413,863.50x = 621,031.11 × 161,111.25
  4. Step 4: Simplify right side
    413,863.50x = 100,055,098,420.99
  5. Step 5: Solve for x
    x = 100,055,098,420.99/413,863.50
  6. Step 6: Final answer
    x = 241,758.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.