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Finding the Fourth Proportional to 386,704.08, 580,047.35 and 227,788.16

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Solution

The fourth proportional to 386,704.08, 580,047.35 and 227,788.16 is: 341,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,704.08 : 580,047.35 = 227,788.16 : x
  2. Step 2: Convert to fraction form
    386,704.08/580,047.35 = 227,788.16/x
  3. Step 3: Cross multiply
    386,704.08x = 580,047.35 × 227,788.16
  4. Step 4: Simplify right side
    386,704.08x = 132,127,914,530.20
  5. Step 5: Solve for x
    x = 132,127,914,530.20/386,704.08
  6. Step 6: Final answer
    x = 341,677.06

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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.