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Finding the Fourth Proportional to 318,032.36, 438,701.91 and 198,593

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Solution

The fourth proportional to 318,032.36, 438,701.91 and 198,593 is: 273,944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,032.36 : 438,701.91 = 198,593 : x
  2. Step 2: Convert to fraction form
    318,032.36/438,701.91 = 198,593/x
  3. Step 3: Cross multiply
    318,032.36x = 438,701.91 × 198,593
  4. Step 4: Simplify right side
    318,032.36x = 87,123,128,412.63
  5. Step 5: Solve for x
    x = 87,123,128,412.63/318,032.36
  6. Step 6: Final answer
    x = 273,944.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.