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Finding the Fourth Proportional to 410,968.84, 616,163.49 and 158,036.83

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Solution

The fourth proportional to 410,968.84, 616,163.49 and 158,036.83 is: 236,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,968.84 : 616,163.49 = 158,036.83 : x
  2. Step 2: Convert to fraction form
    410,968.84/616,163.49 = 158,036.83/x
  3. Step 3: Cross multiply
    410,968.84x = 616,163.49 × 158,036.83
  4. Step 4: Simplify right side
    410,968.84x = 97,376,524,721.34
  5. Step 5: Solve for x
    x = 97,376,524,721.34/410,968.84
  6. Step 6: Final answer
    x = 236,943.81

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Why These Related Problems?

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