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Finding the Fourth Proportional to 510,422.49, 765,518.91 and 150,516.10

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Solution

The fourth proportional to 510,422.49, 765,518.91 and 150,516.10 is: 225,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,422.49 : 765,518.91 = 150,516.10 : x
  2. Step 2: Convert to fraction form
    510,422.49/765,518.91 = 150,516.10/x
  3. Step 3: Cross multiply
    510,422.49x = 765,518.91 × 150,516.10
  4. Step 4: Simplify right side
    510,422.49x = 115,222,920,107.21
  5. Step 5: Solve for x
    x = 115,222,920,107.21/510,422.49
  6. Step 6: Final answer
    x = 225,740.29

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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.