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Finding the Fourth Proportional to 376,146.46, 519,077.46 and 206,380.45

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Solution

The fourth proportional to 376,146.46, 519,077.46 and 206,380.45 is: 284,802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,146.46 : 519,077.46 = 206,380.45 : x
  2. Step 2: Convert to fraction form
    376,146.46/519,077.46 = 206,380.45/x
  3. Step 3: Cross multiply
    376,146.46x = 519,077.46 × 206,380.45
  4. Step 4: Simplify right side
    376,146.46x = 107,127,439,779.66
  5. Step 5: Solve for x
    x = 107,127,439,779.66/376,146.46
  6. Step 6: Final answer
    x = 284,802.47

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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.