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Finding the Fourth Proportional to 268,294.20, 401,858.10 and 162,929.40

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Solution

The fourth proportional to 268,294.20, 401,858.10 and 162,929.40 is: 244,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,294.20 : 401,858.10 = 162,929.40 : x
  2. Step 2: Convert to fraction form
    268,294.20/401,858.10 = 162,929.40/x
  3. Step 3: Cross multiply
    268,294.20x = 401,858.10 × 162,929.40
  4. Step 4: Simplify right side
    268,294.20x = 65,474,499,118.14
  5. Step 5: Solve for x
    x = 65,474,499,118.14/268,294.20
  6. Step 6: Final answer
    x = 244,039.93

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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.