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Finding the Fourth Proportional to 405,796.40, 560,119.60 and 262,552.80

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Solution

The fourth proportional to 405,796.40, 560,119.60 and 262,552.80 is: 362,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,796.40 : 560,119.60 = 262,552.80 : x
  2. Step 2: Convert to fraction form
    405,796.40/560,119.60 = 262,552.80/x
  3. Step 3: Cross multiply
    405,796.40x = 560,119.60 × 262,552.80
  4. Step 4: Simplify right side
    405,796.40x = 147,060,969,314.88
  5. Step 5: Solve for x
    x = 147,060,969,314.88/405,796.40
  6. Step 6: Final answer
    x = 362,400.87

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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.