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Finding the Fourth Proportional to 442,104.66, 662,602.14 and 189,087.66

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Solution

The fourth proportional to 442,104.66, 662,602.14 and 189,087.66 is: 283,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,104.66 : 662,602.14 = 189,087.66 : x
  2. Step 2: Convert to fraction form
    442,104.66/662,602.14 = 189,087.66/x
  3. Step 3: Cross multiply
    442,104.66x = 662,602.14 × 189,087.66
  4. Step 4: Simplify right side
    442,104.66x = 125,289,888,163.59
  5. Step 5: Solve for x
    x = 125,289,888,163.59/442,104.66
  6. Step 6: Final answer
    x = 283,394.18

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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.