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Finding the Fourth Proportional to 405,852.88, 560,028.99 and 224,540.86

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Solution

The fourth proportional to 405,852.88, 560,028.99 and 224,540.86 is: 309,839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,852.88 : 560,028.99 = 224,540.86 : x
  2. Step 2: Convert to fraction form
    405,852.88/560,028.99 = 224,540.86/x
  3. Step 3: Cross multiply
    405,852.88x = 560,028.99 × 224,540.86
  4. Step 4: Simplify right side
    405,852.88x = 125,749,391,039.53
  5. Step 5: Solve for x
    x = 125,749,391,039.53/405,852.88
  6. Step 6: Final answer
    x = 309,839.84

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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.