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Finding the Fourth Proportional to 405,613.93, 559,743.64 and 224,321.96

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Solution

The fourth proportional to 405,613.93, 559,743.64 and 224,321.96 is: 309,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,613.93 : 559,743.64 = 224,321.96 : x
  2. Step 2: Convert to fraction form
    405,613.93/559,743.64 = 224,321.96/x
  3. Step 3: Cross multiply
    405,613.93x = 559,743.64 × 224,321.96
  4. Step 4: Simplify right side
    405,613.93x = 125,562,790,422.33
  5. Step 5: Solve for x
    x = 125,562,790,422.33/405,613.93
  6. Step 6: Final answer
    x = 309,562.32

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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.