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Finding the Fourth Proportional to 290,819.20, 435,998.40 and 159,491.20

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Solution

The fourth proportional to 290,819.20, 435,998.40 and 159,491.20 is: 239,110.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,819.20 : 435,998.40 = 159,491.20 : x
  2. Step 2: Convert to fraction form
    290,819.20/435,998.40 = 159,491.20/x
  3. Step 3: Cross multiply
    290,819.20x = 435,998.40 × 159,491.20
  4. Step 4: Simplify right side
    290,819.20x = 69,537,908,014.08
  5. Step 5: Solve for x
    x = 69,537,908,014.08/290,819.20
  6. Step 6: Final answer
    x = 239,110.44

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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.