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Finding the Fourth Proportional to 314,833.28, 472,261.44 and 127,840.64

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Solution

The fourth proportional to 314,833.28, 472,261.44 and 127,840.64 is: 191,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,833.28 : 472,261.44 = 127,840.64 : x
  2. Step 2: Convert to fraction form
    314,833.28/472,261.44 = 127,840.64/x
  3. Step 3: Cross multiply
    314,833.28x = 472,261.44 × 127,840.64
  4. Step 4: Simplify right side
    314,833.28x = 60,374,204,736.92
  5. Step 5: Solve for x
    x = 60,374,204,736.92/314,833.28
  6. Step 6: Final answer
    x = 191,765.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.