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Finding the Fourth Proportional to 324,235.80, 486,123.30 and 146,827.80

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Solution

The fourth proportional to 324,235.80, 486,123.30 and 146,827.80 is: 220,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,235.80 : 486,123.30 = 146,827.80 : x
  2. Step 2: Convert to fraction form
    324,235.80/486,123.30 = 146,827.80/x
  3. Step 3: Cross multiply
    324,235.80x = 486,123.30 × 146,827.80
  4. Step 4: Simplify right side
    324,235.80x = 71,376,414,667.74
  5. Step 5: Solve for x
    x = 71,376,414,667.74/324,235.80
  6. Step 6: Final answer
    x = 220,137.37

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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.