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Finding the Fourth Proportional to 527,153.58, 727,472.38 and 285,436.28

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Solution

The fourth proportional to 527,153.58, 727,472.38 and 285,436.28 is: 393,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,153.58 : 727,472.38 = 285,436.28 : x
  2. Step 2: Convert to fraction form
    527,153.58/727,472.38 = 285,436.28/x
  3. Step 3: Cross multiply
    527,153.58x = 727,472.38 × 285,436.28
  4. Step 4: Simplify right side
    527,153.58x = 207,647,009,949.95
  5. Step 5: Solve for x
    x = 207,647,009,949.95/527,153.58
  6. Step 6: Final answer
    x = 393,902.30

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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.