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Finding the Fourth Proportional to 308,826.14, 463,319.08 and 180,850.51

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Solution

The fourth proportional to 308,826.14, 463,319.08 and 180,850.51 is: 271,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,826.14 : 463,319.08 = 180,850.51 : x
  2. Step 2: Convert to fraction form
    308,826.14/463,319.08 = 180,850.51/x
  3. Step 3: Cross multiply
    308,826.14x = 463,319.08 × 180,850.51
  4. Step 4: Simplify right side
    308,826.14x = 83,791,489,594.14
  5. Step 5: Solve for x
    x = 83,791,489,594.14/308,826.14
  6. Step 6: Final answer
    x = 271,322.53

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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.