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Finding the Fourth Proportional to 290,998.20, 436,825.35 and 224,732.10

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Solution

The fourth proportional to 290,998.20, 436,825.35 and 224,732.10 is: 337,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,998.20 : 436,825.35 = 224,732.10 : x
  2. Step 2: Convert to fraction form
    290,998.20/436,825.35 = 224,732.10/x
  3. Step 3: Cross multiply
    290,998.20x = 436,825.35 × 224,732.10
  4. Step 4: Simplify right side
    290,998.20x = 98,168,678,238.74
  5. Step 5: Solve for x
    x = 98,168,678,238.74/290,998.20
  6. Step 6: Final answer
    x = 337,351.50

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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.