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Finding the Fourth Proportional to 421,690.80, 581,939.87 and 230,707.38

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Solution

The fourth proportional to 421,690.80, 581,939.87 and 230,707.38 is: 318,379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,690.80 : 581,939.87 = 230,707.38 : x
  2. Step 2: Convert to fraction form
    421,690.80/581,939.87 = 230,707.38/x
  3. Step 3: Cross multiply
    421,690.80x = 581,939.87 × 230,707.38
  4. Step 4: Simplify right side
    421,690.80x = 134,257,821,571.70
  5. Step 5: Solve for x
    x = 134,257,821,571.70/421,690.80
  6. Step 6: Final answer
    x = 318,379.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.