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Finding the Fourth Proportional to 348,767.85, 523,018.98 and 206,653.23

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Solution

The fourth proportional to 348,767.85, 523,018.98 and 206,653.23 is: 309,901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,767.85 : 523,018.98 = 206,653.23 : x
  2. Step 2: Convert to fraction form
    348,767.85/523,018.98 = 206,653.23/x
  3. Step 3: Cross multiply
    348,767.85x = 523,018.98 × 206,653.23
  4. Step 4: Simplify right side
    348,767.85x = 108,083,561,568.31
  5. Step 5: Solve for x
    x = 108,083,561,568.31/348,767.85
  6. Step 6: Final answer
    x = 309,901.16

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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.