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Finding the Fourth Proportional to 335,812.86, 503,718.74 and 230,311.98

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Solution

The fourth proportional to 335,812.86, 503,718.74 and 230,311.98 is: 345,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,812.86 : 503,718.74 = 230,311.98 : x
  2. Step 2: Convert to fraction form
    335,812.86/503,718.74 = 230,311.98/x
  3. Step 3: Cross multiply
    335,812.86x = 503,718.74 × 230,311.98
  4. Step 4: Simplify right side
    335,812.86x = 116,012,460,372.51
  5. Step 5: Solve for x
    x = 116,012,460,372.51/335,812.86
  6. Step 6: Final answer
    x = 345,467.59

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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.