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Finding the Fourth Proportional to 493,624.80, 740,437.17 and 119,647.80

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Solution

The fourth proportional to 493,624.80, 740,437.17 and 119,647.80 is: 179,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,624.80 : 740,437.17 = 119,647.80 : x
  2. Step 2: Convert to fraction form
    493,624.80/740,437.17 = 119,647.80/x
  3. Step 3: Cross multiply
    493,624.80x = 740,437.17 × 119,647.80
  4. Step 4: Simplify right side
    493,624.80x = 88,591,678,428.73
  5. Step 5: Solve for x
    x = 88,591,678,428.73/493,624.80
  6. Step 6: Final answer
    x = 179,471.69

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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.