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Finding the Fourth Proportional to 401,367.70, 602,051.56 and 120,884.96

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Solution

The fourth proportional to 401,367.70, 602,051.56 and 120,884.96 is: 181,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,367.70 : 602,051.56 = 120,884.96 : x
  2. Step 2: Convert to fraction form
    401,367.70/602,051.56 = 120,884.96/x
  3. Step 3: Cross multiply
    401,367.70x = 602,051.56 × 120,884.96
  4. Step 4: Simplify right side
    401,367.70x = 72,778,978,748.54
  5. Step 5: Solve for x
    x = 72,778,978,748.54/401,367.70
  6. Step 6: Final answer
    x = 181,327.44

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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.