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Finding the Fourth Proportional to 541,388.98, 746,945.04 and 314,990.74

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Solution

The fourth proportional to 541,388.98, 746,945.04 and 314,990.74 is: 434,587.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,388.98 : 746,945.04 = 314,990.74 : x
  2. Step 2: Convert to fraction form
    541,388.98/746,945.04 = 314,990.74/x
  3. Step 3: Cross multiply
    541,388.98x = 746,945.04 × 314,990.74
  4. Step 4: Simplify right side
    541,388.98x = 235,280,770,888.93
  5. Step 5: Solve for x
    x = 235,280,770,888.93/541,388.98
  6. Step 6: Final answer
    x = 434,587.29

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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.