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Finding the Fourth Proportional to 301,641.47, 416,270.22 and 165,687.98

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Solution

The fourth proportional to 301,641.47, 416,270.22 and 165,687.98 is: 228,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,641.47 : 416,270.22 = 165,687.98 : x
  2. Step 2: Convert to fraction form
    301,641.47/416,270.22 = 165,687.98/x
  3. Step 3: Cross multiply
    301,641.47x = 416,270.22 × 165,687.98
  4. Step 4: Simplify right side
    301,641.47x = 68,970,971,885.96
  5. Step 5: Solve for x
    x = 68,970,971,885.96/301,641.47
  6. Step 6: Final answer
    x = 228,652.16

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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.