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Finding the Fourth Proportional to 2,070,114, 3,105,171 and 574,206

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Solution

The fourth proportional to 2,070,114, 3,105,171 and 574,206 is: 861,309

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070,114 : 3,105,171 = 574,206 : x
  2. Step 2: Convert to fraction form
    2,070,114/3,105,171 = 574,206/x
  3. Step 3: Cross multiply
    2,070,114x = 3,105,171 × 574,206
  4. Step 4: Simplify right side
    2,070,114x = 1,783,007,819,226
  5. Step 5: Solve for x
    x = 1,783,007,819,226/2,070,114
  6. Step 6: Final answer
    x = 861,309

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.