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Finding the Fourth Proportional to 366,732.26, 506,132.51 and 205,630.82

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Solution

The fourth proportional to 366,732.26, 506,132.51 and 205,630.82 is: 283,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,732.26 : 506,132.51 = 205,630.82 : x
  2. Step 2: Convert to fraction form
    366,732.26/506,132.51 = 205,630.82/x
  3. Step 3: Cross multiply
    366,732.26x = 506,132.51 × 205,630.82
  4. Step 4: Simplify right side
    366,732.26x = 104,076,443,059.96
  5. Step 5: Solve for x
    x = 104,076,443,059.96/366,732.26
  6. Step 6: Final answer
    x = 283,794.08

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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.