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Finding the Fourth Proportional to 527,094.36, 727,201.26 and 300,608.64

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Solution

The fourth proportional to 527,094.36, 727,201.26 and 300,608.64 is: 414,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,094.36 : 727,201.26 = 300,608.64 : x
  2. Step 2: Convert to fraction form
    527,094.36/727,201.26 = 300,608.64/x
  3. Step 3: Cross multiply
    527,094.36x = 727,201.26 × 300,608.64
  4. Step 4: Simplify right side
    527,094.36x = 218,602,981,774.89
  5. Step 5: Solve for x
    x = 218,602,981,774.89/527,094.36
  6. Step 6: Final answer
    x = 414,732.16

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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.