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Finding the Fourth Proportional to 405,965.32, 560,241.36 and 262,974.20

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Solution

The fourth proportional to 405,965.32, 560,241.36 and 262,974.20 is: 362,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,965.32 : 560,241.36 = 262,974.20 : x
  2. Step 2: Convert to fraction form
    405,965.32/560,241.36 = 262,974.20/x
  3. Step 3: Cross multiply
    405,965.32x = 560,241.36 × 262,974.20
  4. Step 4: Simplify right side
    405,965.32x = 147,329,020,651.71
  5. Step 5: Solve for x
    x = 147,329,020,651.71/405,965.32
  6. Step 6: Final answer
    x = 362,910.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.