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Finding the Fourth Proportional to 405,854.88, 560,096.24 and 224,563.84

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Solution

The fourth proportional to 405,854.88, 560,096.24 and 224,563.84 is: 309,907.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,854.88 : 560,096.24 = 224,563.84 : x
  2. Step 2: Convert to fraction form
    405,854.88/560,096.24 = 224,563.84/x
  3. Step 3: Cross multiply
    405,854.88x = 560,096.24 × 224,563.84
  4. Step 4: Simplify right side
    405,854.88x = 125,777,362,423.96
  5. Step 5: Solve for x
    x = 125,777,362,423.96/405,854.88
  6. Step 6: Final answer
    x = 309,907.23

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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.