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Finding the Fourth Proportional to 446,202, 616,283.64 and 302,713.20

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Solution

The fourth proportional to 446,202, 616,283.64 and 302,713.20 is: 418,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,202 : 616,283.64 = 302,713.20 : x
  2. Step 2: Convert to fraction form
    446,202/616,283.64 = 302,713.20/x
  3. Step 3: Cross multiply
    446,202x = 616,283.64 × 302,713.20
  4. Step 4: Simplify right side
    446,202x = 186,557,192,772.05
  5. Step 5: Solve for x
    x = 186,557,192,772.05/446,202
  6. Step 6: Final answer
    x = 418,100.31

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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.