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Finding the Fourth Proportional to 398,789.93, 598,297.91 and 162,302.33

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Solution

The fourth proportional to 398,789.93, 598,297.91 and 162,302.33 is: 243,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,789.93 : 598,297.91 = 162,302.33 : x
  2. Step 2: Convert to fraction form
    398,789.93/598,297.91 = 162,302.33/x
  3. Step 3: Cross multiply
    398,789.93x = 598,297.91 × 162,302.33
  4. Step 4: Simplify right side
    398,789.93x = 97,105,141,024.13
  5. Step 5: Solve for x
    x = 97,105,141,024.13/398,789.93
  6. Step 6: Final answer
    x = 243,499.48

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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.