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Finding the Fourth Proportional to 376,133.46, 519,064.65 and 206,368.26

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Solution

The fourth proportional to 376,133.46, 519,064.65 and 206,368.26 is: 284,788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,133.46 : 519,064.65 = 206,368.26 : x
  2. Step 2: Convert to fraction form
    376,133.46/519,064.65 = 206,368.26/x
  3. Step 3: Cross multiply
    376,133.46x = 519,064.65 × 206,368.26
  4. Step 4: Simplify right side
    376,133.46x = 107,118,468,648.01
  5. Step 5: Solve for x
    x = 107,118,468,648.01/376,133.46
  6. Step 6: Final answer
    x = 284,788.46

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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.