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Finding the Fourth Proportional to 419,858.56, 579,048.24 and 354,766.29

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Solution

The fourth proportional to 419,858.56, 579,048.24 and 354,766.29 is: 489,276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,858.56 : 579,048.24 = 354,766.29 : x
  2. Step 2: Convert to fraction form
    419,858.56/579,048.24 = 354,766.29/x
  3. Step 3: Cross multiply
    419,858.56x = 579,048.24 × 354,766.29
  4. Step 4: Simplify right side
    419,858.56x = 205,426,795,835.83
  5. Step 5: Solve for x
    x = 205,426,795,835.83/419,858.56
  6. Step 6: Final answer
    x = 489,276.19

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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.