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Finding the Fourth Proportional to 308,494.40, 462,914.40 and 130,971.20

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Solution

The fourth proportional to 308,494.40, 462,914.40 and 130,971.20 is: 196,530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,494.40 : 462,914.40 = 130,971.20 : x
  2. Step 2: Convert to fraction form
    308,494.40/462,914.40 = 130,971.20/x
  3. Step 3: Cross multiply
    308,494.40x = 462,914.40 × 130,971.20
  4. Step 4: Simplify right side
    308,494.40x = 60,628,454,465.28
  5. Step 5: Solve for x
    x = 60,628,454,465.28/308,494.40
  6. Step 6: Final answer
    x = 196,530.16

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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.