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Finding the Fourth Proportional to 415,945.40, 623,918.10 and 412,446.20

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Solution

The fourth proportional to 415,945.40, 623,918.10 and 412,446.20 is: 618,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,945.40 : 623,918.10 = 412,446.20 : x
  2. Step 2: Convert to fraction form
    415,945.40/623,918.10 = 412,446.20/x
  3. Step 3: Cross multiply
    415,945.40x = 623,918.10 × 412,446.20
  4. Step 4: Simplify right side
    415,945.40x = 257,332,649,456.22
  5. Step 5: Solve for x
    x = 257,332,649,456.22/415,945.40
  6. Step 6: Final answer
    x = 618,669.30

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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.