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Finding the Fourth Proportional to 308,826.61, 463,319.78 and 180,850.97

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Solution

The fourth proportional to 308,826.61, 463,319.78 and 180,850.97 is: 271,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,826.61 : 463,319.78 = 180,850.97 : x
  2. Step 2: Convert to fraction form
    308,826.61/463,319.78 = 180,850.97/x
  3. Step 3: Cross multiply
    308,826.61x = 463,319.78 × 180,850.97
  4. Step 4: Simplify right side
    308,826.61x = 83,791,830,409.77
  5. Step 5: Solve for x
    x = 83,791,830,409.77/308,826.61
  6. Step 6: Final answer
    x = 271,323.22

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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.