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Finding the Fourth Proportional to 324,816.31, 487,224.47 and 158,461.75

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Solution

The fourth proportional to 324,816.31, 487,224.47 and 158,461.75 is: 237,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,816.31 : 487,224.47 = 158,461.75 : x
  2. Step 2: Convert to fraction form
    324,816.31/487,224.47 = 158,461.75/x
  3. Step 3: Cross multiply
    324,816.31x = 487,224.47 × 158,461.75
  4. Step 4: Simplify right side
    324,816.31x = 77,206,442,159.02
  5. Step 5: Solve for x
    x = 77,206,442,159.02/324,816.31
  6. Step 6: Final answer
    x = 237,692.63

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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.