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Finding the Fourth Proportional to 471,087.37, 706,203.46 and 171,356.10

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Solution

The fourth proportional to 471,087.37, 706,203.46 and 171,356.10 is: 256,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,087.37 : 706,203.46 = 171,356.10 : x
  2. Step 2: Convert to fraction form
    471,087.37/706,203.46 = 171,356.10/x
  3. Step 3: Cross multiply
    471,087.37x = 706,203.46 × 171,356.10
  4. Step 4: Simplify right side
    471,087.37x = 121,012,270,712.11
  5. Step 5: Solve for x
    x = 121,012,270,712.11/471,087.37
  6. Step 6: Final answer
    x = 256,878.61

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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.