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Finding the Fourth Proportional to 527,257.78, 727,611.88 and 285,534.74

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Solution

The fourth proportional to 527,257.78, 727,611.88 and 285,534.74 is: 394,035.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,257.78 : 727,611.88 = 285,534.74 : x
  2. Step 2: Convert to fraction form
    527,257.78/727,611.88 = 285,534.74/x
  3. Step 3: Cross multiply
    527,257.78x = 727,611.88 × 285,534.74
  4. Step 4: Simplify right side
    527,257.78x = 207,758,470,617.28
  5. Step 5: Solve for x
    x = 207,758,470,617.28/527,257.78
  6. Step 6: Final answer
    x = 394,035.86

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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.