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Finding the Fourth Proportional to 527,154.06, 727,603.83 and 300,930.78

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Solution

The fourth proportional to 527,154.06, 727,603.83 and 300,930.78 is: 415,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,154.06 : 727,603.83 = 300,930.78 : x
  2. Step 2: Convert to fraction form
    527,154.06/727,603.83 = 300,930.78/x
  3. Step 3: Cross multiply
    527,154.06x = 727,603.83 × 300,930.78
  4. Step 4: Simplify right side
    527,154.06x = 218,958,388,092.89
  5. Step 5: Solve for x
    x = 218,958,388,092.89/527,154.06
  6. Step 6: Final answer
    x = 415,359.39

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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.