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Finding the Fourth Proportional to 388,672.82, 583,087.60 and 164,033.50

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Solution

The fourth proportional to 388,672.82, 583,087.60 and 164,033.50 is: 246,083.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,672.82 : 583,087.60 = 164,033.50 : x
  2. Step 2: Convert to fraction form
    388,672.82/583,087.60 = 164,033.50/x
  3. Step 3: Cross multiply
    388,672.82x = 583,087.60 × 164,033.50
  4. Step 4: Simplify right side
    388,672.82x = 95,645,896,919.16
  5. Step 5: Solve for x
    x = 95,645,896,919.16/388,672.82
  6. Step 6: Final answer
    x = 246,083.32

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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.