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Finding the Fourth Proportional to 405,889.44, 560,015.73 and 252,952.44

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Solution

The fourth proportional to 405,889.44, 560,015.73 and 252,952.44 is: 349,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,889.44 : 560,015.73 = 252,952.44 : x
  2. Step 2: Convert to fraction form
    405,889.44/560,015.73 = 252,952.44/x
  3. Step 3: Cross multiply
    405,889.44x = 560,015.73 × 252,952.44
  4. Step 4: Simplify right side
    405,889.44x = 141,657,345,341.88
  5. Step 5: Solve for x
    x = 141,657,345,341.88/405,889.44
  6. Step 6: Final answer
    x = 349,004.76

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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.