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Finding the Fourth Proportional to 405,503.68, 559,571.03 and 224,201.38

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Solution

The fourth proportional to 405,503.68, 559,571.03 and 224,201.38 is: 309,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,503.68 : 559,571.03 = 224,201.38 : x
  2. Step 2: Convert to fraction form
    405,503.68/559,571.03 = 224,201.38/x
  3. Step 3: Cross multiply
    405,503.68x = 559,571.03 × 224,201.38
  4. Step 4: Simplify right side
    405,503.68x = 125,456,595,454.84
  5. Step 5: Solve for x
    x = 125,456,595,454.84/405,503.68
  6. Step 6: Final answer
    x = 309,384.61

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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.