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Finding the Fourth Proportional to 527,096.36, 727,204.02 and 300,610.64

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Solution

The fourth proportional to 527,096.36, 727,204.02 and 300,610.64 is: 414,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,096.36 : 727,204.02 = 300,610.64 : x
  2. Step 2: Convert to fraction form
    527,096.36/727,204.02 = 300,610.64/x
  3. Step 3: Cross multiply
    527,096.36x = 727,204.02 × 300,610.64
  4. Step 4: Simplify right side
    527,096.36x = 218,605,265,862.77
  5. Step 5: Solve for x
    x = 218,605,265,862.77/527,096.36
  6. Step 6: Final answer
    x = 414,734.92

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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.