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Finding the Fourth Proportional to 527,095.36, 727,202.64 and 300,609.64

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Solution

The fourth proportional to 527,095.36, 727,202.64 and 300,609.64 is: 414,733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,095.36 : 727,202.64 = 300,609.64 : x
  2. Step 2: Convert to fraction form
    527,095.36/727,202.64 = 300,609.64/x
  3. Step 3: Cross multiply
    527,095.36x = 727,202.64 × 300,609.64
  4. Step 4: Simplify right side
    527,095.36x = 218,604,123,817.45
  5. Step 5: Solve for x
    x = 218,604,123,817.45/527,095.36
  6. Step 6: Final answer
    x = 414,733.54

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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.