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Finding the Fourth Proportional to 252,714, 348,461.01 and 206,629.86

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Solution

The fourth proportional to 252,714, 348,461.01 and 206,629.86 is: 284,916.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,714 : 348,461.01 = 206,629.86 : x
  2. Step 2: Convert to fraction form
    252,714/348,461.01 = 206,629.86/x
  3. Step 3: Cross multiply
    252,714x = 348,461.01 × 206,629.86
  4. Step 4: Simplify right side
    252,714x = 72,002,449,711.76
  5. Step 5: Solve for x
    x = 72,002,449,711.76/252,714
  6. Step 6: Final answer
    x = 284,916.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.