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Finding the Fourth Proportional to 401,801.92, 602,794.93 and 174,135.75

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Solution

The fourth proportional to 401,801.92, 602,794.93 and 174,135.75 is: 261,243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,801.92 : 602,794.93 = 174,135.75 : x
  2. Step 2: Convert to fraction form
    401,801.92/602,794.93 = 174,135.75/x
  3. Step 3: Cross multiply
    401,801.92x = 602,794.93 × 174,135.75
  4. Step 4: Simplify right side
    401,801.92x = 104,968,146,469.90
  5. Step 5: Solve for x
    x = 104,968,146,469.90/401,801.92
  6. Step 6: Final answer
    x = 261,243.52

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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.