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Finding the Fourth Proportional to 564,205.63, 846,309.33 and 199,738.42

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Solution

The fourth proportional to 564,205.63, 846,309.33 and 199,738.42 is: 299,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,205.63 : 846,309.33 = 199,738.42 : x
  2. Step 2: Convert to fraction form
    564,205.63/846,309.33 = 199,738.42/x
  3. Step 3: Cross multiply
    564,205.63x = 846,309.33 × 199,738.42
  4. Step 4: Simplify right side
    564,205.63x = 169,040,488,405.46
  5. Step 5: Solve for x
    x = 169,040,488,405.46/564,205.63
  6. Step 6: Final answer
    x = 299,607.94

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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.