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Finding the Fourth Proportional to 381,607.60, 572,476.20 and 204,066.40

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Solution

The fourth proportional to 381,607.60, 572,476.20 and 204,066.40 is: 306,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,607.60 : 572,476.20 = 204,066.40 : x
  2. Step 2: Convert to fraction form
    381,607.60/572,476.20 = 204,066.40/x
  3. Step 3: Cross multiply
    381,607.60x = 572,476.20 × 204,066.40
  4. Step 4: Simplify right side
    381,607.60x = 116,823,157,219.68
  5. Step 5: Solve for x
    x = 116,823,157,219.68/381,607.60
  6. Step 6: Final answer
    x = 306,134.25

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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.