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Finding the Fourth Proportional to 381,568.16, 572,364.41 and 191,924.95

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Solution

The fourth proportional to 381,568.16, 572,364.41 and 191,924.95 is: 287,893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,568.16 : 572,364.41 = 191,924.95 : x
  2. Step 2: Convert to fraction form
    381,568.16/572,364.41 = 191,924.95/x
  3. Step 3: Cross multiply
    381,568.16x = 572,364.41 × 191,924.95
  4. Step 4: Simplify right side
    381,568.16x = 109,851,010,771.03
  5. Step 5: Solve for x
    x = 109,851,010,771.03/381,568.16
  6. Step 6: Final answer
    x = 287,893.55

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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.