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Finding the Fourth Proportional to 295,230, 407,415.24 and 167,905.44

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Solution

The fourth proportional to 295,230, 407,415.24 and 167,905.44 is: 231,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,230 : 407,415.24 = 167,905.44 : x
  2. Step 2: Convert to fraction form
    295,230/407,415.24 = 167,905.44/x
  3. Step 3: Cross multiply
    295,230x = 407,415.24 × 167,905.44
  4. Step 4: Simplify right side
    295,230x = 68,407,235,134.91
  5. Step 5: Solve for x
    x = 68,407,235,134.91/295,230
  6. Step 6: Final answer
    x = 231,708.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.