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Finding the Fourth Proportional to 287,438.20, 431,351.70 and 161,078.20

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Solution

The fourth proportional to 287,438.20, 431,351.70 and 161,078.20 is: 241,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,438.20 : 431,351.70 = 161,078.20 : x
  2. Step 2: Convert to fraction form
    287,438.20/431,351.70 = 161,078.20/x
  3. Step 3: Cross multiply
    287,438.20x = 431,351.70 × 161,078.20
  4. Step 4: Simplify right side
    287,438.20x = 69,481,355,402.94
  5. Step 5: Solve for x
    x = 69,481,355,402.94/287,438.20
  6. Step 6: Final answer
    x = 241,726.24

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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.