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Finding the Fourth Proportional to 405,936.30, 560,178.27 and 224,655.87

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Solution

The fourth proportional to 405,936.30, 560,178.27 and 224,655.87 is: 310,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,936.30 : 560,178.27 = 224,655.87 : x
  2. Step 2: Convert to fraction form
    405,936.30/560,178.27 = 224,655.87/x
  3. Step 3: Cross multiply
    405,936.30x = 560,178.27 × 224,655.87
  4. Step 4: Simplify right side
    405,936.30x = 125,847,336,601.95
  5. Step 5: Solve for x
    x = 125,847,336,601.95/405,936.30
  6. Step 6: Final answer
    x = 310,017.45

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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.