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Finding the Fourth Proportional to 405,523.76, 559,616.94 and 224,231.69

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Solution

The fourth proportional to 405,523.76, 559,616.94 and 224,231.69 is: 309,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,523.76 : 559,616.94 = 224,231.69 : x
  2. Step 2: Convert to fraction form
    405,523.76/559,616.94 = 224,231.69/x
  3. Step 3: Cross multiply
    405,523.76x = 559,616.94 × 224,231.69
  4. Step 4: Simplify right side
    405,523.76x = 125,483,853,607.87
  5. Step 5: Solve for x
    x = 125,483,853,607.87/405,523.76
  6. Step 6: Final answer
    x = 309,436.51

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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.