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Finding the Fourth Proportional to 405,295.26, 559,336.40 and 224,003.29

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Solution

The fourth proportional to 405,295.26, 559,336.40 and 224,003.29 is: 309,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,295.26 : 559,336.40 = 224,003.29 : x
  2. Step 2: Convert to fraction form
    405,295.26/559,336.40 = 224,003.29/x
  3. Step 3: Cross multiply
    405,295.26x = 559,336.40 × 224,003.29
  4. Step 4: Simplify right side
    405,295.26x = 125,293,192,696.74
  5. Step 5: Solve for x
    x = 125,293,192,696.74/405,295.26
  6. Step 6: Final answer
    x = 309,140.54

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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.