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Finding the Fourth Proportional to 438,814.40, 658,027.20 and 202,229.60

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Solution

The fourth proportional to 438,814.40, 658,027.20 and 202,229.60 is: 303,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,814.40 : 658,027.20 = 202,229.60 : x
  2. Step 2: Convert to fraction form
    438,814.40/658,027.20 = 202,229.60/x
  3. Step 3: Cross multiply
    438,814.40x = 658,027.20 × 202,229.60
  4. Step 4: Simplify right side
    438,814.40x = 133,072,577,445.12
  5. Step 5: Solve for x
    x = 133,072,577,445.12/438,814.40
  6. Step 6: Final answer
    x = 303,254.81

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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.