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Finding the Fourth Proportional to 526,175.89, 788,896.42 and 269,509.96

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Solution

The fourth proportional to 526,175.89, 788,896.42 and 269,509.96 is: 404,076.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,175.89 : 788,896.42 = 269,509.96 : x
  2. Step 2: Convert to fraction form
    526,175.89/788,896.42 = 269,509.96/x
  3. Step 3: Cross multiply
    526,175.89x = 788,896.42 × 269,509.96
  4. Step 4: Simplify right side
    526,175.89x = 212,615,442,598.34
  5. Step 5: Solve for x
    x = 212,615,442,598.34/526,175.89
  6. Step 6: Final answer
    x = 404,076.75

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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.