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Finding the Fourth Proportional to 454,955.42, 682,435.90 and 202,176.50

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Solution

The fourth proportional to 454,955.42, 682,435.90 and 202,176.50 is: 303,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,955.42 : 682,435.90 = 202,176.50 : x
  2. Step 2: Convert to fraction form
    454,955.42/682,435.90 = 202,176.50/x
  3. Step 3: Cross multiply
    454,955.42x = 682,435.90 × 202,176.50
  4. Step 4: Simplify right side
    454,955.42x = 137,972,501,736.35
  5. Step 5: Solve for x
    x = 137,972,501,736.35/454,955.42
  6. Step 6: Final answer
    x = 303,265.98

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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.