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Finding the Fourth Proportional to 466,468.30, 699,705.69 and 200,004.22

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Solution

The fourth proportional to 466,468.30, 699,705.69 and 200,004.22 is: 300,007.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,468.30 : 699,705.69 = 200,004.22 : x
  2. Step 2: Convert to fraction form
    466,468.30/699,705.69 = 200,004.22/x
  3. Step 3: Cross multiply
    466,468.30x = 699,705.69 × 200,004.22
  4. Step 4: Simplify right side
    466,468.30x = 139,944,090,758.01
  5. Step 5: Solve for x
    x = 139,944,090,758.01/466,468.30
  6. Step 6: Final answer
    x = 300,007.72

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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.