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Finding the Fourth Proportional to 376,670.16, 519,807.24 and 206,902.80

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Solution

The fourth proportional to 376,670.16, 519,807.24 and 206,902.80 is: 285,527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,670.16 : 519,807.24 = 206,902.80 : x
  2. Step 2: Convert to fraction form
    376,670.16/519,807.24 = 206,902.80/x
  3. Step 3: Cross multiply
    376,670.16x = 519,807.24 × 206,902.80
  4. Step 4: Simplify right side
    376,670.16x = 107,549,573,416.27
  5. Step 5: Solve for x
    x = 107,549,573,416.27/376,670.16
  6. Step 6: Final answer
    x = 285,527.19

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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.