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Finding the Fourth Proportional to 405,969.87, 560,234.30 and 224,682.15

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Solution

The fourth proportional to 405,969.87, 560,234.30 and 224,682.15 is: 310,059.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,969.87 : 560,234.30 = 224,682.15 : x
  2. Step 2: Convert to fraction form
    405,969.87/560,234.30 = 224,682.15/x
  3. Step 3: Cross multiply
    405,969.87x = 560,234.30 × 224,682.15
  4. Step 4: Simplify right side
    405,969.87x = 125,874,645,904.33
  5. Step 5: Solve for x
    x = 125,874,645,904.33/405,969.87
  6. Step 6: Final answer
    x = 310,059.08

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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.