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Finding the Fourth Proportional to 405,367.56, 559,514.37 and 233,306.70

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Solution

The fourth proportional to 405,367.56, 559,514.37 and 233,306.70 is: 322,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,367.56 : 559,514.37 = 233,306.70 : x
  2. Step 2: Convert to fraction form
    405,367.56/559,514.37 = 233,306.70/x
  3. Step 3: Cross multiply
    405,367.56x = 559,514.37 × 233,306.70
  4. Step 4: Simplify right side
    405,367.56x = 130,538,451,267.28
  5. Step 5: Solve for x
    x = 130,538,451,267.28/405,367.56
  6. Step 6: Final answer
    x = 322,024.91

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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.