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Finding the Fourth Proportional to 381,956.94, 572,374.62 and 192,156.42

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Solution

The fourth proportional to 381,956.94, 572,374.62 and 192,156.42 is: 287,952.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,956.94 : 572,374.62 = 192,156.42 : x
  2. Step 2: Convert to fraction form
    381,956.94/572,374.62 = 192,156.42/x
  3. Step 3: Cross multiply
    381,956.94x = 572,374.62 × 192,156.42
  4. Step 4: Simplify right side
    381,956.94x = 109,985,457,878.06
  5. Step 5: Solve for x
    x = 109,985,457,878.06/381,956.94
  6. Step 6: Final answer
    x = 287,952.51

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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.