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Finding the Fourth Proportional to 409,700.52, 614,740.86 and 173,098.44

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Solution

The fourth proportional to 409,700.52, 614,740.86 and 173,098.44 is: 259,727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,700.52 : 614,740.86 = 173,098.44 : x
  2. Step 2: Convert to fraction form
    409,700.52/614,740.86 = 173,098.44/x
  3. Step 3: Cross multiply
    409,700.52x = 614,740.86 × 173,098.44
  4. Step 4: Simplify right side
    409,700.52x = 106,410,683,870.26
  5. Step 5: Solve for x
    x = 106,410,683,870.26/409,700.52
  6. Step 6: Final answer
    x = 259,727.97

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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.