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Finding the Fourth Proportional to 265,355.16, 365,940.09 and 204,830.34

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Solution

The fourth proportional to 265,355.16, 365,940.09 and 204,830.34 is: 282,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,355.16 : 365,940.09 = 204,830.34 : x
  2. Step 2: Convert to fraction form
    265,355.16/365,940.09 = 204,830.34/x
  3. Step 3: Cross multiply
    265,355.16x = 365,940.09 × 204,830.34
  4. Step 4: Simplify right side
    265,355.16x = 74,955,633,054.33
  5. Step 5: Solve for x
    x = 74,955,633,054.33/265,355.16
  6. Step 6: Final answer
    x = 282,472.87

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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.