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Finding the Fourth Proportional to 348,254.55, 522,213.08 and 204,199.76

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Solution

The fourth proportional to 348,254.55, 522,213.08 and 204,199.76 is: 306,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,254.55 : 522,213.08 = 204,199.76 : x
  2. Step 2: Convert to fraction form
    348,254.55/522,213.08 = 204,199.76/x
  3. Step 3: Cross multiply
    348,254.55x = 522,213.08 × 204,199.76
  4. Step 4: Simplify right side
    348,254.55x = 106,635,781,972.80
  5. Step 5: Solve for x
    x = 106,635,781,972.80/348,254.55
  6. Step 6: Final answer
    x = 306,200.69

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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.