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Finding the Fourth Proportional to 398,169.99, 596,894.00 and 198,551.57

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Solution

The fourth proportional to 398,169.99, 596,894.00 and 198,551.57 is: 297,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,169.99 : 596,894.00 = 198,551.57 : x
  2. Step 2: Convert to fraction form
    398,169.99/596,894.00 = 198,551.57/x
  3. Step 3: Cross multiply
    398,169.99x = 596,894.00 × 198,551.57
  4. Step 4: Simplify right side
    398,169.99x = 118,514,236,846.35
  5. Step 5: Solve for x
    x = 118,514,236,846.35/398,169.99
  6. Step 6: Final answer
    x = 297,647.34

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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.