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Finding the Fourth Proportional to 484,895.72, 727,727.58 and 204,606.44

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Solution

The fourth proportional to 484,895.72, 727,727.58 and 204,606.44 is: 307,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,895.72 : 727,727.58 = 204,606.44 : x
  2. Step 2: Convert to fraction form
    484,895.72/727,727.58 = 204,606.44/x
  3. Step 3: Cross multiply
    484,895.72x = 727,727.58 × 204,606.44
  4. Step 4: Simplify right side
    484,895.72x = 148,897,749,433.62
  5. Step 5: Solve for x
    x = 148,897,749,433.62/484,895.72
  6. Step 6: Final answer
    x = 307,071.69

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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.