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Finding the Fourth Proportional to 408,097.60, 612,146.40 and 308,564.80

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Solution

The fourth proportional to 408,097.60, 612,146.40 and 308,564.80 is: 462,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,097.60 : 612,146.40 = 308,564.80 : x
  2. Step 2: Convert to fraction form
    408,097.60/612,146.40 = 308,564.80/x
  3. Step 3: Cross multiply
    408,097.60x = 612,146.40 × 308,564.80
  4. Step 4: Simplify right side
    408,097.60x = 188,886,831,486.72
  5. Step 5: Solve for x
    x = 188,886,831,486.72/408,097.60
  6. Step 6: Final answer
    x = 462,847.20

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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.