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Finding the Fourth Proportional to 308,883.31, 463,333.06 and 106,477.27

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Solution

The fourth proportional to 308,883.31, 463,333.06 and 106,477.27 is: 159,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,883.31 : 463,333.06 = 106,477.27 : x
  2. Step 2: Convert to fraction form
    308,883.31/463,333.06 = 106,477.27/x
  3. Step 3: Cross multiply
    308,883.31x = 463,333.06 × 106,477.27
  4. Step 4: Simplify right side
    308,883.31x = 49,334,438,304.31
  5. Step 5: Solve for x
    x = 49,334,438,304.31/308,883.31
  6. Step 6: Final answer
    x = 159,718.69

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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.