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Finding the Fourth Proportional to 301,455.98, 416,014.44 and 165,502.52

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Solution

The fourth proportional to 301,455.98, 416,014.44 and 165,502.52 is: 228,396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,455.98 : 416,014.44 = 165,502.52 : x
  2. Step 2: Convert to fraction form
    301,455.98/416,014.44 = 165,502.52/x
  3. Step 3: Cross multiply
    301,455.98x = 416,014.44 × 165,502.52
  4. Step 4: Simplify right side
    301,455.98x = 68,851,438,176.39
  5. Step 5: Solve for x
    x = 68,851,438,176.39/301,455.98
  6. Step 6: Final answer
    x = 228,396.33

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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.