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Finding the Fourth Proportional to 527,361.61, 727,759.23 and 285,643.43

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Solution

The fourth proportional to 527,361.61, 727,759.23 and 285,643.43 is: 394,188.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,361.61 : 727,759.23 = 285,643.43 : x
  2. Step 2: Convert to fraction form
    527,361.61/727,759.23 = 285,643.43/x
  3. Step 3: Cross multiply
    527,361.61x = 727,759.23 × 285,643.43
  4. Step 4: Simplify right side
    527,361.61x = 207,879,643,559.90
  5. Step 5: Solve for x
    x = 207,879,643,559.90/527,361.61
  6. Step 6: Final answer
    x = 394,188.05

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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.