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Finding the Fourth Proportional to 599,743.61, 899,662.75 and 200,385.77

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Solution

The fourth proportional to 599,743.61, 899,662.75 and 200,385.77 is: 300,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,743.61 : 899,662.75 = 200,385.77 : x
  2. Step 2: Convert to fraction form
    599,743.61/899,662.75 = 200,385.77/x
  3. Step 3: Cross multiply
    599,743.61x = 899,662.75 × 200,385.77
  4. Step 4: Simplify right side
    599,743.61x = 180,279,607,899.79
  5. Step 5: Solve for x
    x = 180,279,607,899.79/599,743.61
  6. Step 6: Final answer
    x = 300,594.46

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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.