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Finding the Fourth Proportional to 412,188.66, 618,262.47 and 241,506.90

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Solution

The fourth proportional to 412,188.66, 618,262.47 and 241,506.90 is: 362,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,188.66 : 618,262.47 = 241,506.90 : x
  2. Step 2: Convert to fraction form
    412,188.66/618,262.47 = 241,506.90/x
  3. Step 3: Cross multiply
    412,188.66x = 618,262.47 × 241,506.90
  4. Step 4: Simplify right side
    412,188.66x = 149,314,652,516.04
  5. Step 5: Solve for x
    x = 149,314,652,516.04/412,188.66
  6. Step 6: Final answer
    x = 362,248.33

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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.