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Finding the Fourth Proportional to 402,637.23, 603,512.96 and 165,850.74

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Solution

The fourth proportional to 402,637.23, 603,512.96 and 165,850.74 is: 248,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,637.23 : 603,512.96 = 165,850.74 : x
  2. Step 2: Convert to fraction form
    402,637.23/603,512.96 = 165,850.74/x
  3. Step 3: Cross multiply
    402,637.23x = 603,512.96 × 165,850.74
  4. Step 4: Simplify right side
    402,637.23x = 100,093,070,186.34
  5. Step 5: Solve for x
    x = 100,093,070,186.34/402,637.23
  6. Step 6: Final answer
    x = 248,593.68

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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.