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Finding the Fourth Proportional to 565,123.98, 847,729.73 and 160,309.37

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Solution

The fourth proportional to 565,123.98, 847,729.73 and 160,309.37 is: 240,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,123.98 : 847,729.73 = 160,309.37 : x
  2. Step 2: Convert to fraction form
    565,123.98/847,729.73 = 160,309.37/x
  3. Step 3: Cross multiply
    565,123.98x = 847,729.73 × 160,309.37
  4. Step 4: Simplify right side
    565,123.98x = 135,899,013,906.38
  5. Step 5: Solve for x
    x = 135,899,013,906.38/565,123.98
  6. Step 6: Final answer
    x = 240,476.46

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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.