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Finding the Fourth Proportional to 287,971.36, 397,215.45 and 174,794.11

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Solution

The fourth proportional to 287,971.36, 397,215.45 and 174,794.11 is: 241,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,971.36 : 397,215.45 = 174,794.11 : x
  2. Step 2: Convert to fraction form
    287,971.36/397,215.45 = 174,794.11/x
  3. Step 3: Cross multiply
    287,971.36x = 397,215.45 × 174,794.11
  4. Step 4: Simplify right side
    287,971.36x = 69,430,921,061.00
  5. Step 5: Solve for x
    x = 69,430,921,061.00/287,971.36
  6. Step 6: Final answer
    x = 241,103.56

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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.