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Finding the Fourth Proportional to 295,276, 407,502.78 and 167,992.60

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Solution

The fourth proportional to 295,276, 407,502.78 and 167,992.60 is: 231,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,276 : 407,502.78 = 167,992.60 : x
  2. Step 2: Convert to fraction form
    295,276/407,502.78 = 167,992.60/x
  3. Step 3: Cross multiply
    295,276x = 407,502.78 × 167,992.60
  4. Step 4: Simplify right side
    295,276x = 68,457,451,519.43
  5. Step 5: Solve for x
    x = 68,457,451,519.43/295,276
  6. Step 6: Final answer
    x = 231,842.25

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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.