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Finding the Fourth Proportional to 381,682.60, 572,783.10 and 213,202.60

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Solution

The fourth proportional to 381,682.60, 572,783.10 and 213,202.60 is: 319,948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,682.60 : 572,783.10 = 213,202.60 : x
  2. Step 2: Convert to fraction form
    381,682.60/572,783.10 = 213,202.60/x
  3. Step 3: Cross multiply
    381,682.60x = 572,783.10 × 213,202.60
  4. Step 4: Simplify right side
    381,682.60x = 122,118,846,156.06
  5. Step 5: Solve for x
    x = 122,118,846,156.06/381,682.60
  6. Step 6: Final answer
    x = 319,948.69

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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.