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Finding the Fourth Proportional to 405,855.24, 560,237.22 and 363,339.96

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Solution

The fourth proportional to 405,855.24, 560,237.22 and 363,339.96 is: 501,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,855.24 : 560,237.22 = 363,339.96 : x
  2. Step 2: Convert to fraction form
    405,855.24/560,237.22 = 363,339.96/x
  3. Step 3: Cross multiply
    405,855.24x = 560,237.22 × 363,339.96
  4. Step 4: Simplify right side
    405,855.24x = 203,556,569,105.31
  5. Step 5: Solve for x
    x = 203,556,569,105.31/405,855.24
  6. Step 6: Final answer
    x = 501,549.69

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