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Finding the Fourth Proportional to 541,285.32, 746,975.16 and 299,584.56

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Solution

The fourth proportional to 541,285.32, 746,975.16 and 299,584.56 is: 413,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,285.32 : 746,975.16 = 299,584.56 : x
  2. Step 2: Convert to fraction form
    541,285.32/746,975.16 = 299,584.56/x
  3. Step 3: Cross multiply
    541,285.32x = 746,975.16 × 299,584.56
  4. Step 4: Simplify right side
    541,285.32x = 223,782,224,639.53
  5. Step 5: Solve for x
    x = 223,782,224,639.53/541,285.32
  6. Step 6: Final answer
    x = 413,427.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.