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Finding the Fourth Proportional to 471,285.34, 706,504.01 and 171,555.60

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Solution

The fourth proportional to 471,285.34, 706,504.01 and 171,555.60 is: 257,179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,285.34 : 706,504.01 = 171,555.60 : x
  2. Step 2: Convert to fraction form
    471,285.34/706,504.01 = 171,555.60/x
  3. Step 3: Cross multiply
    471,285.34x = 706,504.01 × 171,555.60
  4. Step 4: Simplify right side
    471,285.34x = 121,204,721,129.57
  5. Step 5: Solve for x
    x = 121,204,721,129.57/471,285.34
  6. Step 6: Final answer
    x = 257,179.06

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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.