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Finding the Fourth Proportional to 599,879.69, 899,637.78 and 315,416.96

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Solution

The fourth proportional to 599,879.69, 899,637.78 and 315,416.96 is: 473,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,879.69 : 899,637.78 = 315,416.96 : x
  2. Step 2: Convert to fraction form
    599,879.69/899,637.78 = 315,416.96/x
  3. Step 3: Cross multiply
    599,879.69x = 899,637.78 × 315,416.96
  4. Step 4: Simplify right side
    599,879.69x = 283,761,013,668.75
  5. Step 5: Solve for x
    x = 283,761,013,668.75/599,879.69
  6. Step 6: Final answer
    x = 473,029.87

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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.