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Finding the Fourth Proportional to 321,774.96, 444,114 and 185,831.04

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Solution

The fourth proportional to 321,774.96, 444,114 and 185,831.04 is: 256,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,774.96 : 444,114 = 185,831.04 : x
  2. Step 2: Convert to fraction form
    321,774.96/444,114 = 185,831.04/x
  3. Step 3: Cross multiply
    321,774.96x = 444,114 × 185,831.04
  4. Step 4: Simplify right side
    321,774.96x = 82,530,166,498.56
  5. Step 5: Solve for x
    x = 82,530,166,498.56/321,774.96
  6. Step 6: Final answer
    x = 256,484.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.