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Finding the Fourth Proportional to 223,332.80, 334,999.20 and 200,523.20

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Solution

The fourth proportional to 223,332.80, 334,999.20 and 200,523.20 is: 300,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,332.80 : 334,999.20 = 200,523.20 : x
  2. Step 2: Convert to fraction form
    223,332.80/334,999.20 = 200,523.20/x
  3. Step 3: Cross multiply
    223,332.80x = 334,999.20 × 200,523.20
  4. Step 4: Simplify right side
    223,332.80x = 67,175,111,581.44
  5. Step 5: Solve for x
    x = 67,175,111,581.44/223,332.80
  6. Step 6: Final answer
    x = 300,784.80

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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.