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Finding the Fourth Proportional to 460,409.79, 635,463.49 and 309,419.31

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Solution

The fourth proportional to 460,409.79, 635,463.49 and 309,419.31 is: 427,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,409.79 : 635,463.49 = 309,419.31 : x
  2. Step 2: Convert to fraction form
    460,409.79/635,463.49 = 309,419.31/x
  3. Step 3: Cross multiply
    460,409.79x = 635,463.49 × 309,419.31
  4. Step 4: Simplify right side
    460,409.79x = 196,624,674,605.99
  5. Step 5: Solve for x
    x = 196,624,674,605.99/460,409.79
  6. Step 6: Final answer
    x = 427,064.50

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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.