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Finding the Fourth Proportional to 285,175.96, 427,523.34 and 179,762.52

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Solution

The fourth proportional to 285,175.96, 427,523.34 and 179,762.52 is: 269,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,175.96 : 427,523.34 = 179,762.52 : x
  2. Step 2: Convert to fraction form
    285,175.96/427,523.34 = 179,762.52/x
  3. Step 3: Cross multiply
    285,175.96x = 427,523.34 × 179,762.52
  4. Step 4: Simplify right side
    285,175.96x = 76,852,672,957.22
  5. Step 5: Solve for x
    x = 76,852,672,957.22/285,175.96
  6. Step 6: Final answer
    x = 269,492.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.