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Finding the Fourth Proportional to 366,011.72, 505,118.59 and 204,876.80

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Solution

The fourth proportional to 366,011.72, 505,118.59 and 204,876.80 is: 282,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,011.72 : 505,118.59 = 204,876.80 : x
  2. Step 2: Convert to fraction form
    366,011.72/505,118.59 = 204,876.80/x
  3. Step 3: Cross multiply
    366,011.72x = 505,118.59 × 204,876.80
  4. Step 4: Simplify right side
    366,011.72x = 103,487,077,301.93
  5. Step 5: Solve for x
    x = 103,487,077,301.93/366,011.72
  6. Step 6: Final answer
    x = 282,742.53

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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.