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Finding the Fourth Proportional to 327,522.96, 491,284.44 and 180,712.08

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Solution

The fourth proportional to 327,522.96, 491,284.44 and 180,712.08 is: 271,068.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,522.96 : 491,284.44 = 180,712.08 : x
  2. Step 2: Convert to fraction form
    327,522.96/491,284.44 = 180,712.08/x
  3. Step 3: Cross multiply
    327,522.96x = 491,284.44 × 180,712.08
  4. Step 4: Simplify right side
    327,522.96x = 88,781,033,024.04
  5. Step 5: Solve for x
    x = 88,781,033,024.04/327,522.96
  6. Step 6: Final answer
    x = 271,068.12

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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.