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Finding the Fourth Proportional to 399,806.97, 599,341.40 and 199,953.45

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Solution

The fourth proportional to 399,806.97, 599,341.40 and 199,953.45 is: 299,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,806.97 : 599,341.40 = 199,953.45 : x
  2. Step 2: Convert to fraction form
    399,806.97/599,341.40 = 199,953.45/x
  3. Step 3: Cross multiply
    399,806.97x = 599,341.40 × 199,953.45
  4. Step 4: Simplify right side
    399,806.97x = 119,840,379,658.06
  5. Step 5: Solve for x
    x = 119,840,379,658.06/399,806.97
  6. Step 6: Final answer
    x = 299,745.60

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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.