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Finding the Fourth Proportional to 348,767.53, 523,018.49 and 206,652.90

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Solution

The fourth proportional to 348,767.53, 523,018.49 and 206,652.90 is: 309,900.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,767.53 : 523,018.49 = 206,652.90 : x
  2. Step 2: Convert to fraction form
    348,767.53/523,018.49 = 206,652.90/x
  3. Step 3: Cross multiply
    348,767.53x = 523,018.49 × 206,652.90
  4. Step 4: Simplify right side
    348,767.53x = 108,083,287,712.12
  5. Step 5: Solve for x
    x = 108,083,287,712.12/348,767.53
  6. Step 6: Final answer
    x = 309,900.66

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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.