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Finding the Fourth Proportional to 382,466.60, 573,815.10 and 205,058.60

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Solution

The fourth proportional to 382,466.60, 573,815.10 and 205,058.60 is: 307,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,466.60 : 573,815.10 = 205,058.60 : x
  2. Step 2: Convert to fraction form
    382,466.60/573,815.10 = 205,058.60/x
  3. Step 3: Cross multiply
    382,466.60x = 573,815.10 × 205,058.60
  4. Step 4: Simplify right side
    382,466.60x = 117,665,721,064.86
  5. Step 5: Solve for x
    x = 117,665,721,064.86/382,466.60
  6. Step 6: Final answer
    x = 307,649.66

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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.