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Finding the Fourth Proportional to 530,814.76, 796,224.64 and 227,164.50

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Solution

The fourth proportional to 530,814.76, 796,224.64 and 227,164.50 is: 340,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,814.76 : 796,224.64 = 227,164.50 : x
  2. Step 2: Convert to fraction form
    530,814.76/796,224.64 = 227,164.50/x
  3. Step 3: Cross multiply
    530,814.76x = 796,224.64 × 227,164.50
  4. Step 4: Simplify right side
    530,814.76x = 180,873,972,432.53
  5. Step 5: Solve for x
    x = 180,873,972,432.53/530,814.76
  6. Step 6: Final answer
    x = 340,747.82

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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.