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Finding the Fourth Proportional to 382,496.16, 527,955.86 and 255,171.44

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Solution

The fourth proportional to 382,496.16, 527,955.86 and 255,171.44 is: 352,210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,496.16 : 527,955.86 = 255,171.44 : x
  2. Step 2: Convert to fraction form
    382,496.16/527,955.86 = 255,171.44/x
  3. Step 3: Cross multiply
    382,496.16x = 527,955.86 × 255,171.44
  4. Step 4: Simplify right side
    382,496.16x = 134,719,257,052.64
  5. Step 5: Solve for x
    x = 134,719,257,052.64/382,496.16
  6. Step 6: Final answer
    x = 352,210.74

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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.