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Finding the Fourth Proportional to 556,204, 767,665.20 and 317,740

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Solution

The fourth proportional to 556,204, 767,665.20 and 317,740 is: 438,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,204 : 767,665.20 = 317,740 : x
  2. Step 2: Convert to fraction form
    556,204/767,665.20 = 317,740/x
  3. Step 3: Cross multiply
    556,204x = 767,665.20 × 317,740
  4. Step 4: Simplify right side
    556,204x = 243,917,940,648
  5. Step 5: Solve for x
    x = 243,917,940,648/556,204
  6. Step 6: Final answer
    x = 438,540.43

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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.