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Finding the Fourth Proportional to 419,716.19, 579,043.90 and 258,290.98

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Solution

The fourth proportional to 419,716.19, 579,043.90 and 258,290.98 is: 356,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,716.19 : 579,043.90 = 258,290.98 : x
  2. Step 2: Convert to fraction form
    419,716.19/579,043.90 = 258,290.98/x
  3. Step 3: Cross multiply
    419,716.19x = 579,043.90 × 258,290.98
  4. Step 4: Simplify right side
    419,716.19x = 149,561,816,394.02
  5. Step 5: Solve for x
    x = 149,561,816,394.02/419,716.19
  6. Step 6: Final answer
    x = 356,340.36

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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.