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Finding the Fourth Proportional to 308,091.60, 461,113.40 and 223,611.60

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Solution

The fourth proportional to 308,091.60, 461,113.40 and 223,611.60 is: 334,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,091.60 : 461,113.40 = 223,611.60 : x
  2. Step 2: Convert to fraction form
    308,091.60/461,113.40 = 223,611.60/x
  3. Step 3: Cross multiply
    308,091.60x = 461,113.40 × 223,611.60
  4. Step 4: Simplify right side
    308,091.60x = 103,110,305,155.44
  5. Step 5: Solve for x
    x = 103,110,305,155.44/308,091.60
  6. Step 6: Final answer
    x = 334,674.19

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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.