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Finding the Fourth Proportional to 290,971.31, 401,408.54 and 210,271.01

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Solution

The fourth proportional to 290,971.31, 401,408.54 and 210,271.01 is: 290,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,971.31 : 401,408.54 = 210,271.01 : x
  2. Step 2: Convert to fraction form
    290,971.31/401,408.54 = 210,271.01/x
  3. Step 3: Cross multiply
    290,971.31x = 401,408.54 × 210,271.01
  4. Step 4: Simplify right side
    290,971.31x = 84,404,579,128.43
  5. Step 5: Solve for x
    x = 84,404,579,128.43/290,971.31
  6. Step 6: Final answer
    x = 290,078.70

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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.