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Finding the Fourth Proportional to 366,733.26, 506,133.89 and 205,631.82

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Solution

The fourth proportional to 366,733.26, 506,133.89 and 205,631.82 is: 283,795.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,733.26 : 506,133.89 = 205,631.82 : x
  2. Step 2: Convert to fraction form
    366,733.26/506,133.89 = 205,631.82/x
  3. Step 3: Cross multiply
    366,733.26x = 506,133.89 × 205,631.82
  4. Step 4: Simplify right side
    366,733.26x = 104,077,232,964.38
  5. Step 5: Solve for x
    x = 104,077,232,964.38/366,733.26
  6. Step 6: Final answer
    x = 283,795.46

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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.