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Finding the Fourth Proportional to 511,580.56, 767,440.86 and 174,530.72

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Solution

The fourth proportional to 511,580.56, 767,440.86 and 174,530.72 is: 261,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,580.56 : 767,440.86 = 174,530.72 : x
  2. Step 2: Convert to fraction form
    511,580.56/767,440.86 = 174,530.72/x
  3. Step 3: Cross multiply
    511,580.56x = 767,440.86 × 174,530.72
  4. Step 4: Simplify right side
    511,580.56x = 133,942,005,853.22
  5. Step 5: Solve for x
    x = 133,942,005,853.22/511,580.56
  6. Step 6: Final answer
    x = 261,819.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.