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Finding the Fourth Proportional to 265,921.64, 367,107.24 and 205,356.32

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Solution

The fourth proportional to 265,921.64, 367,107.24 and 205,356.32 is: 283,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,921.64 : 367,107.24 = 205,356.32 : x
  2. Step 2: Convert to fraction form
    265,921.64/367,107.24 = 205,356.32/x
  3. Step 3: Cross multiply
    265,921.64x = 367,107.24 × 205,356.32
  4. Step 4: Simplify right side
    265,921.64x = 75,387,791,851.76
  5. Step 5: Solve for x
    x = 75,387,791,851.76/265,921.64
  6. Step 6: Final answer
    x = 283,496.27

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1.5x scale

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.