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Finding the Fourth Proportional to 527,301.45, 727,672.38 and 285,578.50

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Solution

The fourth proportional to 527,301.45, 727,672.38 and 285,578.50 is: 394,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,301.45 : 727,672.38 = 285,578.50 : x
  2. Step 2: Convert to fraction form
    527,301.45/727,672.38 = 285,578.50/x
  3. Step 3: Cross multiply
    527,301.45x = 727,672.38 × 285,578.50
  4. Step 4: Simplify right side
    527,301.45x = 207,807,586,771.83
  5. Step 5: Solve for x
    x = 207,807,586,771.83/527,301.45
  6. Step 6: Final answer
    x = 394,096.37

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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.