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Finding the Fourth Proportional to 381,683.10, 533,656.50 and 381,683.10

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Solution

The fourth proportional to 381,683.10, 533,656.50 and 381,683.10 is: 533,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,683.10 : 533,656.50 = 381,683.10 : x
  2. Step 2: Convert to fraction form
    381,683.10/533,656.50 = 381,683.10/x
  3. Step 3: Cross multiply
    381,683.10x = 533,656.50 × 381,683.10
  4. Step 4: Simplify right side
    381,683.10x = 203,687,667,255.15
  5. Step 5: Solve for x
    x = 203,687,667,255.15/381,683.10
  6. Step 6: Final answer
    x = 533,656.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.