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Finding the Fourth Proportional to 301,637.90, 416,265.29 and 165,684.41

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Solution

The fourth proportional to 301,637.90, 416,265.29 and 165,684.41 is: 228,647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,637.90 : 416,265.29 = 165,684.41 : x
  2. Step 2: Convert to fraction form
    301,637.90/416,265.29 = 165,684.41/x
  3. Step 3: Cross multiply
    301,637.90x = 416,265.29 × 165,684.41
  4. Step 4: Simplify right side
    301,637.90x = 68,968,666,067.38
  5. Step 5: Solve for x
    x = 68,968,666,067.38/301,637.90
  6. Step 6: Final answer
    x = 228,647.22

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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.