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Finding the Fourth Proportional to 405,295.31, 559,336.49 and 224,003.34

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Solution

The fourth proportional to 405,295.31, 559,336.49 and 224,003.34 is: 309,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,295.31 : 559,336.49 = 224,003.34 : x
  2. Step 2: Convert to fraction form
    405,295.31/559,336.49 = 224,003.34/x
  3. Step 3: Cross multiply
    405,295.31x = 559,336.49 × 224,003.34
  4. Step 4: Simplify right side
    405,295.31x = 125,293,240,823.86
  5. Step 5: Solve for x
    x = 125,293,240,823.86/405,295.31
  6. Step 6: Final answer
    x = 309,140.61

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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.