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Finding the Fourth Proportional to 411,186.56, 616,870.50 and 174,731.36

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Solution

The fourth proportional to 411,186.56, 616,870.50 and 174,731.36 is: 262,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,186.56 : 616,870.50 = 174,731.36 : x
  2. Step 2: Convert to fraction form
    411,186.56/616,870.50 = 174,731.36/x
  3. Step 3: Cross multiply
    411,186.56x = 616,870.50 × 174,731.36
  4. Step 4: Simplify right side
    411,186.56x = 107,786,621,408.88
  5. Step 5: Solve for x
    x = 107,786,621,408.88/411,186.56
  6. Step 6: Final answer
    x = 262,135.57

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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.