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Finding the Fourth Proportional to 340,685.10, 511,059.24 and 115,970.04

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Solution

The fourth proportional to 340,685.10, 511,059.24 and 115,970.04 is: 173,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,685.10 : 511,059.24 = 115,970.04 : x
  2. Step 2: Convert to fraction form
    340,685.10/511,059.24 = 115,970.04/x
  3. Step 3: Cross multiply
    340,685.10x = 511,059.24 × 115,970.04
  4. Step 4: Simplify right side
    340,685.10x = 59,267,560,505.17
  5. Step 5: Solve for x
    x = 59,267,560,505.17/340,685.10
  6. Step 6: Final answer
    x = 173,965.81

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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.