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Finding the Fourth Proportional to 541,376.73, 746,928.13 and 314,978.49

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Solution

The fourth proportional to 541,376.73, 746,928.13 and 314,978.49 is: 434,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,376.73 : 746,928.13 = 314,978.49 : x
  2. Step 2: Convert to fraction form
    541,376.73/746,928.13 = 314,978.49/x
  3. Step 3: Cross multiply
    541,376.73x = 746,928.13 × 314,978.49
  4. Step 4: Simplify right side
    541,376.73x = 235,266,294,525.92
  5. Step 5: Solve for x
    x = 235,266,294,525.92/541,376.73
  6. Step 6: Final answer
    x = 434,570.39

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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.