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Finding the Fourth Proportional to 462,611.96, 638,580.67 and 301,506.20

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Solution

The fourth proportional to 462,611.96, 638,580.67 and 301,506.20 is: 416,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,611.96 : 638,580.67 = 301,506.20 : x
  2. Step 2: Convert to fraction form
    462,611.96/638,580.67 = 301,506.20/x
  3. Step 3: Cross multiply
    462,611.96x = 638,580.67 × 301,506.20
  4. Step 4: Simplify right side
    462,611.96x = 192,536,027,258.49
  5. Step 5: Solve for x
    x = 192,536,027,258.49/462,611.96
  6. Step 6: Final answer
    x = 416,193.37

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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.