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Finding the Fourth Proportional to 405,550.44, 559,663.23 and 224,274.57

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Solution

The fourth proportional to 405,550.44, 559,663.23 and 224,274.57 is: 309,500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,550.44 : 559,663.23 = 224,274.57 : x
  2. Step 2: Convert to fraction form
    405,550.44/559,663.23 = 224,274.57/x
  3. Step 3: Cross multiply
    405,550.44x = 559,663.23 × 224,274.57
  4. Step 4: Simplify right side
    405,550.44x = 125,518,230,253.06
  5. Step 5: Solve for x
    x = 125,518,230,253.06/405,550.44
  6. Step 6: Final answer
    x = 309,500.91

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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.