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Finding the Fourth Proportional to 541,509.44, 813,009.54 and 275,450

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Solution

The fourth proportional to 541,509.44, 813,009.54 and 275,450 is: 413,554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,509.44 : 813,009.54 = 275,450 : x
  2. Step 2: Convert to fraction form
    541,509.44/813,009.54 = 275,450/x
  3. Step 3: Cross multiply
    541,509.44x = 813,009.54 × 275,450
  4. Step 4: Simplify right side
    541,509.44x = 223,943,477,793
  5. Step 5: Solve for x
    x = 223,943,477,793/541,509.44
  6. Step 6: Final answer
    x = 413,554.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.