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Finding the Fourth Proportional to 302,114, 416,917.32 and 167,978

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Solution

The fourth proportional to 302,114, 416,917.32 and 167,978 is: 231,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,114 : 416,917.32 = 167,978 : x
  2. Step 2: Convert to fraction form
    302,114/416,917.32 = 167,978/x
  3. Step 3: Cross multiply
    302,114x = 416,917.32 × 167,978
  4. Step 4: Simplify right side
    302,114x = 70,032,937,578.96
  5. Step 5: Solve for x
    x = 70,032,937,578.96/302,114
  6. Step 6: Final answer
    x = 231,809.64

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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.