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Finding the Fourth Proportional to 285,598.16, 427,598.52 and 215,257.04

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Solution

The fourth proportional to 285,598.16, 427,598.52 and 215,257.04 is: 322,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,598.16 : 427,598.52 = 215,257.04 : x
  2. Step 2: Convert to fraction form
    285,598.16/427,598.52 = 215,257.04/x
  3. Step 3: Cross multiply
    285,598.16x = 427,598.52 × 215,257.04
  4. Step 4: Simplify right side
    285,598.16x = 92,043,591,723.58
  5. Step 5: Solve for x
    x = 92,043,591,723.58/285,598.16
  6. Step 6: Final answer
    x = 322,283.56

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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.