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Finding the Fourth Proportional to 301,486.68, 415,933.18 and 180,633.04

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Solution

The fourth proportional to 301,486.68, 415,933.18 and 180,633.04 is: 249,202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,486.68 : 415,933.18 = 180,633.04 : x
  2. Step 2: Convert to fraction form
    301,486.68/415,933.18 = 180,633.04/x
  3. Step 3: Cross multiply
    301,486.68x = 415,933.18 × 180,633.04
  4. Step 4: Simplify right side
    301,486.68x = 75,131,274,740.27
  5. Step 5: Solve for x
    x = 75,131,274,740.27/301,486.68
  6. Step 6: Final answer
    x = 249,202.63

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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.