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Finding the Fourth Proportional to 301,361.26, 415,897.96 and 167,225.26

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Solution

The fourth proportional to 301,361.26, 415,897.96 and 167,225.26 is: 230,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,361.26 : 415,897.96 = 167,225.26 : x
  2. Step 2: Convert to fraction form
    301,361.26/415,897.96 = 167,225.26/x
  3. Step 3: Cross multiply
    301,361.26x = 415,897.96 × 167,225.26
  4. Step 4: Simplify right side
    301,361.26x = 69,548,644,494.47
  5. Step 5: Solve for x
    x = 69,548,644,494.47/301,361.26
  6. Step 6: Final answer
    x = 230,781.64

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1.5x scale

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.