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Finding the Fourth Proportional to 381,568.60, 572,612.10 and 213,088.60

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Solution

The fourth proportional to 381,568.60, 572,612.10 and 213,088.60 is: 319,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,568.60 : 572,612.10 = 213,088.60 : x
  2. Step 2: Convert to fraction form
    381,568.60/572,612.10 = 213,088.60/x
  3. Step 3: Cross multiply
    381,568.60x = 572,612.10 × 213,088.60
  4. Step 4: Simplify right side
    381,568.60x = 122,017,110,732.06
  5. Step 5: Solve for x
    x = 122,017,110,732.06/381,568.60
  6. Step 6: Final answer
    x = 319,777.65

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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.