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Finding the Fourth Proportional to 301,398, 415,930.32 and 167,262

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Solution

The fourth proportional to 301,398, 415,930.32 and 167,262 is: 230,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,398 : 415,930.32 = 167,262 : x
  2. Step 2: Convert to fraction form
    301,398/415,930.32 = 167,262/x
  3. Step 3: Cross multiply
    301,398x = 415,930.32 × 167,262
  4. Step 4: Simplify right side
    301,398x = 69,569,337,183.84
  5. Step 5: Solve for x
    x = 69,569,337,183.84/301,398
  6. Step 6: Final answer
    x = 230,822.16

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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.