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Finding the Fourth Proportional to 447,942.60, 617,943 and 286,668.36

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Solution

The fourth proportional to 447,942.60, 617,943 and 286,668.36 is: 395,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,942.60 : 617,943 = 286,668.36 : x
  2. Step 2: Convert to fraction form
    447,942.60/617,943 = 286,668.36/x
  3. Step 3: Cross multiply
    447,942.60x = 617,943 × 286,668.36
  4. Step 4: Simplify right side
    447,942.60x = 177,144,706,383.48
  5. Step 5: Solve for x
    x = 177,144,706,383.48/447,942.60
  6. Step 6: Final answer
    x = 395,462.96

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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.