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Finding the Fourth Proportional to 410,850.63, 616,342.16 and 126,541.10

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Solution

The fourth proportional to 410,850.63, 616,342.16 and 126,541.10 is: 189,832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,850.63 : 616,342.16 = 126,541.10 : x
  2. Step 2: Convert to fraction form
    410,850.63/616,342.16 = 126,541.10/x
  3. Step 3: Cross multiply
    410,850.63x = 616,342.16 × 126,541.10
  4. Step 4: Simplify right side
    410,850.63x = 77,992,616,759.98
  5. Step 5: Solve for x
    x = 77,992,616,759.98/410,850.63
  6. Step 6: Final answer
    x = 189,832.05

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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.