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Finding the Fourth Proportional to 340,092.68, 511,059.74 and 182,434.28

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Solution

The fourth proportional to 340,092.68, 511,059.74 and 182,434.28 is: 274,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,092.68 : 511,059.74 = 182,434.28 : x
  2. Step 2: Convert to fraction form
    340,092.68/511,059.74 = 182,434.28/x
  3. Step 3: Cross multiply
    340,092.68x = 511,059.74 × 182,434.28
  4. Step 4: Simplify right side
    340,092.68x = 93,234,812,236.42
  5. Step 5: Solve for x
    x = 93,234,812,236.42/340,092.68
  6. Step 6: Final answer
    x = 274,145.31

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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.