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Finding the Fourth Proportional to 320,466.98, 442,299.89 and 193,142.68

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Solution

The fourth proportional to 320,466.98, 442,299.89 and 193,142.68 is: 266,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,466.98 : 442,299.89 = 193,142.68 : x
  2. Step 2: Convert to fraction form
    320,466.98/442,299.89 = 193,142.68/x
  3. Step 3: Cross multiply
    320,466.98x = 442,299.89 × 193,142.68
  4. Step 4: Simplify right side
    320,466.98x = 85,426,985,495.41
  5. Step 5: Solve for x
    x = 85,426,985,495.41/320,466.98
  6. Step 6: Final answer
    x = 266,570.32

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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.