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Finding the Fourth Proportional to 324,097.60, 486,146.40 and 304,414.60

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Solution

The fourth proportional to 324,097.60, 486,146.40 and 304,414.60 is: 456,621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,097.60 : 486,146.40 = 304,414.60 : x
  2. Step 2: Convert to fraction form
    324,097.60/486,146.40 = 304,414.60/x
  3. Step 3: Cross multiply
    324,097.60x = 486,146.40 × 304,414.60
  4. Step 4: Simplify right side
    324,097.60x = 147,990,061,897.44
  5. Step 5: Solve for x
    x = 147,990,061,897.44/324,097.60
  6. Step 6: Final answer
    x = 456,621.90

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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.