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Finding the Fourth Proportional to 570,905.46, 856,325.31 and 171,537.78

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Solution

The fourth proportional to 570,905.46, 856,325.31 and 171,537.78 is: 257,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,905.46 : 856,325.31 = 171,537.78 : x
  2. Step 2: Convert to fraction form
    570,905.46/856,325.31 = 171,537.78/x
  3. Step 3: Cross multiply
    570,905.46x = 856,325.31 × 171,537.78
  4. Step 4: Simplify right side
    570,905.46x = 146,892,142,635.21
  5. Step 5: Solve for x
    x = 146,892,142,635.21/570,905.46
  6. Step 6: Final answer
    x = 257,296.79

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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.