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Finding the Fourth Proportional to 214,424.69, 321,648.57 and 56,648.84

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Solution

The fourth proportional to 214,424.69, 321,648.57 and 56,648.84 is: 84,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,424.69 : 321,648.57 = 56,648.84 : x
  2. Step 2: Convert to fraction form
    214,424.69/321,648.57 = 56,648.84/x
  3. Step 3: Cross multiply
    214,424.69x = 321,648.57 × 56,648.84
  4. Step 4: Simplify right side
    214,424.69x = 18,221,016,769.92
  5. Step 5: Solve for x
    x = 18,221,016,769.92/214,424.69
  6. Step 6: Final answer
    x = 84,976.30

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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.