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Finding the Fourth Proportional to 401,046.39, 601,645.46 and 161,178.93

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Solution

The fourth proportional to 401,046.39, 601,645.46 and 161,178.93 is: 241,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,046.39 : 601,645.46 = 161,178.93 : x
  2. Step 2: Convert to fraction form
    401,046.39/601,645.46 = 161,178.93/x
  3. Step 3: Cross multiply
    401,046.39x = 601,645.46 × 161,178.93
  4. Step 4: Simplify right side
    401,046.39x = 96,972,570,676.26
  5. Step 5: Solve for x
    x = 96,972,570,676.26/401,046.39
  6. Step 6: Final answer
    x = 241,798.89

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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.