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Finding the Fourth Proportional to 505,023.36, 696,935.52 and 275,596.80

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Solution

The fourth proportional to 505,023.36, 696,935.52 and 275,596.80 is: 380,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,023.36 : 696,935.52 = 275,596.80 : x
  2. Step 2: Convert to fraction form
    505,023.36/696,935.52 = 275,596.80/x
  3. Step 3: Cross multiply
    505,023.36x = 696,935.52 × 275,596.80
  4. Step 4: Simplify right side
    505,023.36x = 192,073,199,118.34
  5. Step 5: Solve for x
    x = 192,073,199,118.34/505,023.36
  6. Step 6: Final answer
    x = 380,325.38

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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.