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Finding the Fourth Proportional to 308,093.60, 462,140.40 and 174,922.40

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Solution

The fourth proportional to 308,093.60, 462,140.40 and 174,922.40 is: 262,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,093.60 : 462,140.40 = 174,922.40 : x
  2. Step 2: Convert to fraction form
    308,093.60/462,140.40 = 174,922.40/x
  3. Step 3: Cross multiply
    308,093.60x = 462,140.40 × 174,922.40
  4. Step 4: Simplify right side
    308,093.60x = 80,838,707,904.96
  5. Step 5: Solve for x
    x = 80,838,707,904.96/308,093.60
  6. Step 6: Final answer
    x = 262,383.60

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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.