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Finding the Fourth Proportional to 301,635, 416,256.30 and 167,499

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Solution

The fourth proportional to 301,635, 416,256.30 and 167,499 is: 231,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,635 : 416,256.30 = 167,499 : x
  2. Step 2: Convert to fraction form
    301,635/416,256.30 = 167,499/x
  3. Step 3: Cross multiply
    301,635x = 416,256.30 × 167,499
  4. Step 4: Simplify right side
    301,635x = 69,722,513,993.70
  5. Step 5: Solve for x
    x = 69,722,513,993.70/301,635
  6. Step 6: Final answer
    x = 231,148.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.