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Finding the Fourth Proportional to 301,834.52, 416,531.60 and 167,698.52

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Solution

The fourth proportional to 301,834.52, 416,531.60 and 167,698.52 is: 231,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,834.52 : 416,531.60 = 167,698.52 : x
  2. Step 2: Convert to fraction form
    301,834.52/416,531.60 = 167,698.52/x
  3. Step 3: Cross multiply
    301,834.52x = 416,531.60 × 167,698.52
  4. Step 4: Simplify right side
    301,834.52x = 69,851,732,853.23
  5. Step 5: Solve for x
    x = 69,851,732,853.23/301,834.52
  6. Step 6: Final answer
    x = 231,423.94

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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.