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Finding the Fourth Proportional to 301,846.41, 416,527.91 and 165,877.44

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Solution

The fourth proportional to 301,846.41, 416,527.91 and 165,877.44 is: 228,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,846.41 : 416,527.91 = 165,877.44 : x
  2. Step 2: Convert to fraction form
    301,846.41/416,527.91 = 165,877.44/x
  3. Step 3: Cross multiply
    301,846.41x = 416,527.91 × 165,877.44
  4. Step 4: Simplify right side
    301,846.41x = 69,092,582,569.96
  5. Step 5: Solve for x
    x = 69,092,582,569.96/301,846.41
  6. Step 6: Final answer
    x = 228,899.80

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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.