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Finding the Fourth Proportional to 324,092.60, 486,284.70 and 146,508.20

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Solution

The fourth proportional to 324,092.60, 486,284.70 and 146,508.20 is: 219,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,092.60 : 486,284.70 = 146,508.20 : x
  2. Step 2: Convert to fraction form
    324,092.60/486,284.70 = 146,508.20/x
  3. Step 3: Cross multiply
    324,092.60x = 486,284.70 × 146,508.20
  4. Step 4: Simplify right side
    324,092.60x = 71,244,696,084.54
  5. Step 5: Solve for x
    x = 71,244,696,084.54/324,092.60
  6. Step 6: Final answer
    x = 219,828.21

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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.