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Finding the Fourth Proportional to 420,651.36, 580,494.48 and 229,664.16

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Solution

The fourth proportional to 420,651.36, 580,494.48 and 229,664.16 is: 316,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,651.36 : 580,494.48 = 229,664.16 : x
  2. Step 2: Convert to fraction form
    420,651.36/580,494.48 = 229,664.16/x
  3. Step 3: Cross multiply
    420,651.36x = 580,494.48 × 229,664.16
  4. Step 4: Simplify right side
    420,651.36x = 133,318,777,133.84
  5. Step 5: Solve for x
    x = 133,318,777,133.84/420,651.36
  6. Step 6: Final answer
    x = 316,934.14

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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.