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Finding the Fourth Proportional to 301,834, 416,532.54 and 167,698

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Solution

The fourth proportional to 301,834, 416,532.54 and 167,698 is: 231,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,834 : 416,532.54 = 167,698 : x
  2. Step 2: Convert to fraction form
    301,834/416,532.54 = 167,698/x
  3. Step 3: Cross multiply
    301,834x = 416,532.54 × 167,698
  4. Step 4: Simplify right side
    301,834x = 69,851,673,892.92
  5. Step 5: Solve for x
    x = 69,851,673,892.92/301,834
  6. Step 6: Final answer
    x = 231,424.14

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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.