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Finding the Fourth Proportional to 289,127.91, 399,043.90 and 198,409.33

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Solution

The fourth proportional to 289,127.91, 399,043.90 and 198,409.33 is: 273,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,127.91 : 399,043.90 = 198,409.33 : x
  2. Step 2: Convert to fraction form
    289,127.91/399,043.90 = 198,409.33/x
  3. Step 3: Cross multiply
    289,127.91x = 399,043.90 × 198,409.33
  4. Step 4: Simplify right side
    289,127.91x = 79,174,031,341.78
  5. Step 5: Solve for x
    x = 79,174,031,341.78/289,127.91
  6. Step 6: Final answer
    x = 273,837.39

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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.