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Finding the Fourth Proportional to 402,266.80, 603,649.37 and 233,866.38

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Solution

The fourth proportional to 402,266.80, 603,649.37 and 233,866.38 is: 350,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,266.80 : 603,649.37 = 233,866.38 : x
  2. Step 2: Convert to fraction form
    402,266.80/603,649.37 = 233,866.38/x
  3. Step 3: Cross multiply
    402,266.80x = 603,649.37 × 233,866.38
  4. Step 4: Simplify right side
    402,266.80x = 141,173,293,535.85
  5. Step 5: Solve for x
    x = 141,173,293,535.85/402,266.80
  6. Step 6: Final answer
    x = 350,944.43

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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.