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Finding the Fourth Proportional to 585,458.50, 878,189.91 and 142,226.50

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Solution

The fourth proportional to 585,458.50, 878,189.91 and 142,226.50 is: 213,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,458.50 : 878,189.91 = 142,226.50 : x
  2. Step 2: Convert to fraction form
    585,458.50/878,189.91 = 142,226.50/x
  3. Step 3: Cross multiply
    585,458.50x = 878,189.91 × 142,226.50
  4. Step 4: Simplify right side
    585,458.50x = 124,901,877,234.62
  5. Step 5: Solve for x
    x = 124,901,877,234.62/585,458.50
  6. Step 6: Final answer
    x = 213,340.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.