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Finding the Fourth Proportional to 421,684.24, 581,964.30 and 230,726.32

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Solution

The fourth proportional to 421,684.24, 581,964.30 and 230,726.32 is: 318,424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,684.24 : 581,964.30 = 230,726.32 : x
  2. Step 2: Convert to fraction form
    421,684.24/581,964.30 = 230,726.32/x
  3. Step 3: Cross multiply
    421,684.24x = 581,964.30 × 230,726.32
  4. Step 4: Simplify right side
    421,684.24x = 134,274,481,310.38
  5. Step 5: Solve for x
    x = 134,274,481,310.38/421,684.24
  6. Step 6: Final answer
    x = 318,424.23

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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.