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Finding the Fourth Proportional to 519,732.50, 717,230.86 and 281,268.50

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Solution

The fourth proportional to 519,732.50, 717,230.86 and 281,268.50 is: 388,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,732.50 : 717,230.86 = 281,268.50 : x
  2. Step 2: Convert to fraction form
    519,732.50/717,230.86 = 281,268.50/x
  3. Step 3: Cross multiply
    519,732.50x = 717,230.86 × 281,268.50
  4. Step 4: Simplify right side
    519,732.50x = 201,734,446,739.57
  5. Step 5: Solve for x
    x = 201,734,446,739.57/519,732.50
  6. Step 6: Final answer
    x = 388,150.53

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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.