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Finding the Fourth Proportional to 430,024.20, 644,805.90 and 180,424.20

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Solution

The fourth proportional to 430,024.20, 644,805.90 and 180,424.20 is: 270,539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,024.20 : 644,805.90 = 180,424.20 : x
  2. Step 2: Convert to fraction form
    430,024.20/644,805.90 = 180,424.20/x
  3. Step 3: Cross multiply
    430,024.20x = 644,805.90 × 180,424.20
  4. Step 4: Simplify right side
    430,024.20x = 116,338,588,662.78
  5. Step 5: Solve for x
    x = 116,338,588,662.78/430,024.20
  6. Step 6: Final answer
    x = 270,539.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.