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Finding the Fourth Proportional to 589,619.92, 813,698.04 and 321,347.92

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Solution

The fourth proportional to 589,619.92, 813,698.04 and 321,347.92 is: 443,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,619.92 : 813,698.04 = 321,347.92 : x
  2. Step 2: Convert to fraction form
    589,619.92/813,698.04 = 321,347.92/x
  3. Step 3: Cross multiply
    589,619.92x = 813,698.04 × 321,347.92
  4. Step 4: Simplify right side
    589,619.92x = 261,480,172,662.08
  5. Step 5: Solve for x
    x = 261,480,172,662.08/589,619.92
  6. Step 6: Final answer
    x = 443,472.42

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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.