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Finding the Fourth Proportional to 340,853.68, 511,101.44 and 151,231.92

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Solution

The fourth proportional to 340,853.68, 511,101.44 and 151,231.92 is: 226,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,853.68 : 511,101.44 = 151,231.92 : x
  2. Step 2: Convert to fraction form
    340,853.68/511,101.44 = 151,231.92/x
  3. Step 3: Cross multiply
    340,853.68x = 511,101.44 × 151,231.92
  4. Step 4: Simplify right side
    340,853.68x = 77,294,852,085.96
  5. Step 5: Solve for x
    x = 77,294,852,085.96/340,853.68
  6. Step 6: Final answer
    x = 226,768.42

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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.