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Finding the Fourth Proportional to 408,258.14, 563,364.32 and 226,959.02

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Solution

The fourth proportional to 408,258.14, 563,364.32 and 226,959.02 is: 313,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,258.14 : 563,364.32 = 226,959.02 : x
  2. Step 2: Convert to fraction form
    408,258.14/563,364.32 = 226,959.02/x
  3. Step 3: Cross multiply
    408,258.14x = 563,364.32 × 226,959.02
  4. Step 4: Simplify right side
    408,258.14x = 127,860,613,970.17
  5. Step 5: Solve for x
    x = 127,860,613,970.17/408,258.14
  6. Step 6: Final answer
    x = 313,185.71

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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.