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Finding the Fourth Proportional to 389,617.92, 583,956.60 and 189,638.64

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Solution

The fourth proportional to 389,617.92, 583,956.60 and 189,638.64 is: 284,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,617.92 : 583,956.60 = 189,638.64 : x
  2. Step 2: Convert to fraction form
    389,617.92/583,956.60 = 189,638.64/x
  3. Step 3: Cross multiply
    389,617.92x = 583,956.60 × 189,638.64
  4. Step 4: Simplify right side
    389,617.92x = 110,740,735,443.02
  5. Step 5: Solve for x
    x = 110,740,735,443.02/389,617.92
  6. Step 6: Final answer
    x = 284,229.06

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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.