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Finding the Fourth Proportional to 409,864.01, 614,837 and 125,551.26

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Solution

The fourth proportional to 409,864.01, 614,837 and 125,551.26 is: 188,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,864.01 : 614,837 = 125,551.26 : x
  2. Step 2: Convert to fraction form
    409,864.01/614,837 = 125,551.26/x
  3. Step 3: Cross multiply
    409,864.01x = 614,837 × 125,551.26
  4. Step 4: Simplify right side
    409,864.01x = 77,193,560,044.62
  5. Step 5: Solve for x
    x = 77,193,560,044.62/409,864.01
  6. Step 6: Final answer
    x = 188,339.44

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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.