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Finding the Fourth Proportional to 514,311, 771,589.61 and 214,624.83

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Solution

The fourth proportional to 514,311, 771,589.61 and 214,624.83 is: 321,988.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,311 : 771,589.61 = 214,624.83 : x
  2. Step 2: Convert to fraction form
    514,311/771,589.61 = 214,624.83/x
  3. Step 3: Cross multiply
    514,311x = 771,589.61 × 214,624.83
  4. Step 4: Simplify right side
    514,311x = 165,602,288,876.02
  5. Step 5: Solve for x
    x = 165,602,288,876.02/514,311
  6. Step 6: Final answer
    x = 321,988.62

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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.