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Finding the Fourth Proportional to 599,765.49, 899,694.71 and 200,407.65

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Solution

The fourth proportional to 599,765.49, 899,694.71 and 200,407.65 is: 300,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,765.49 : 899,694.71 = 200,407.65 : x
  2. Step 2: Convert to fraction form
    599,765.49/899,694.71 = 200,407.65/x
  3. Step 3: Cross multiply
    599,765.49x = 899,694.71 × 200,407.65
  4. Step 4: Simplify right side
    599,765.49x = 180,305,701,546.49
  5. Step 5: Solve for x
    x = 180,305,701,546.49/599,765.49
  6. Step 6: Final answer
    x = 300,627.00

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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.