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Finding the Fourth Proportional to 523,221.92, 785,164.08 and 223,704.80

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Solution

The fourth proportional to 523,221.92, 785,164.08 and 223,704.80 is: 335,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,221.92 : 785,164.08 = 223,704.80 : x
  2. Step 2: Convert to fraction form
    523,221.92/785,164.08 = 223,704.80/x
  3. Step 3: Cross multiply
    523,221.92x = 785,164.08 × 223,704.80
  4. Step 4: Simplify right side
    523,221.92x = 175,644,973,483.58
  5. Step 5: Solve for x
    x = 175,644,973,483.58/523,221.92
  6. Step 6: Final answer
    x = 335,698.81

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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.