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Finding the Fourth Proportional to 314,103.92, 470,976.84 and 214,384.82

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Solution

The fourth proportional to 314,103.92, 470,976.84 and 214,384.82 is: 321,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,103.92 : 470,976.84 = 214,384.82 : x
  2. Step 2: Convert to fraction form
    314,103.92/470,976.84 = 214,384.82/x
  3. Step 3: Cross multiply
    314,103.92x = 470,976.84 × 214,384.82
  4. Step 4: Simplify right side
    314,103.92x = 100,970,282,712.69
  5. Step 5: Solve for x
    x = 100,970,282,712.69/314,103.92
  6. Step 6: Final answer
    x = 321,455.03

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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.