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Finding the Fourth Proportional to 301,837, 416,536.68 and 167,701

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Solution

The fourth proportional to 301,837, 416,536.68 and 167,701 is: 231,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,837 : 416,536.68 = 167,701 : x
  2. Step 2: Convert to fraction form
    301,837/416,536.68 = 167,701/x
  3. Step 3: Cross multiply
    301,837x = 416,536.68 × 167,701
  4. Step 4: Simplify right side
    301,837x = 69,853,617,772.68
  5. Step 5: Solve for x
    x = 69,853,617,772.68/301,837
  6. Step 6: Final answer
    x = 231,428.28

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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.