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Finding the Fourth Proportional to 467,887.82, 701,886.60 and 164,189.25

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Solution

The fourth proportional to 467,887.82, 701,886.60 and 164,189.25 is: 246,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,887.82 : 701,886.60 = 164,189.25 : x
  2. Step 2: Convert to fraction form
    467,887.82/701,886.60 = 164,189.25/x
  3. Step 3: Cross multiply
    467,887.82x = 701,886.60 × 164,189.25
  4. Step 4: Simplify right side
    467,887.82x = 115,242,234,439.05
  5. Step 5: Solve for x
    x = 115,242,234,439.05/467,887.82
  6. Step 6: Final answer
    x = 246,303.13

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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.