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Finding the Fourth Proportional to 556,676.28, 768,209.94 and 302,022

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Solution

The fourth proportional to 556,676.28, 768,209.94 and 302,022 is: 416,788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,676.28 : 768,209.94 = 302,022 : x
  2. Step 2: Convert to fraction form
    556,676.28/768,209.94 = 302,022/x
  3. Step 3: Cross multiply
    556,676.28x = 768,209.94 × 302,022
  4. Step 4: Simplify right side
    556,676.28x = 232,016,302,498.68
  5. Step 5: Solve for x
    x = 232,016,302,498.68/556,676.28
  6. Step 6: Final answer
    x = 416,788.56

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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.