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Finding the Fourth Proportional to 407,205.98, 610,562.88 and 182,524.52

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Solution

The fourth proportional to 407,205.98, 610,562.88 and 182,524.52 is: 273,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,205.98 : 610,562.88 = 182,524.52 : x
  2. Step 2: Convert to fraction form
    407,205.98/610,562.88 = 182,524.52/x
  3. Step 3: Cross multiply
    407,205.98x = 610,562.88 × 182,524.52
  4. Step 4: Simplify right side
    407,205.98x = 111,442,696,601.82
  5. Step 5: Solve for x
    x = 111,442,696,601.82/407,205.98
  6. Step 6: Final answer
    x = 273,676.47

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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.