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Finding the Fourth Proportional to 324,235.60, 486,238.20 and 146,827.60

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Solution

The fourth proportional to 324,235.60, 486,238.20 and 146,827.60 is: 220,189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,235.60 : 486,238.20 = 146,827.60 : x
  2. Step 2: Convert to fraction form
    324,235.60/486,238.20 = 146,827.60/x
  3. Step 3: Cross multiply
    324,235.60x = 486,238.20 × 146,827.60
  4. Step 4: Simplify right side
    324,235.60x = 71,393,187,934.32
  5. Step 5: Solve for x
    x = 71,393,187,934.32/324,235.60
  6. Step 6: Final answer
    x = 220,189.23

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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.