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Finding the Fourth Proportional to 509,476.64, 763,218.45 and 419,648.31

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Solution

The fourth proportional to 509,476.64, 763,218.45 and 419,648.31 is: 628,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,476.64 : 763,218.45 = 419,648.31 : x
  2. Step 2: Convert to fraction form
    509,476.64/763,218.45 = 419,648.31/x
  3. Step 3: Cross multiply
    509,476.64x = 763,218.45 × 419,648.31
  4. Step 4: Simplify right side
    509,476.64x = 320,283,332,703.32
  5. Step 5: Solve for x
    x = 320,283,332,703.32/509,476.64
  6. Step 6: Final answer
    x = 628,651.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.