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Finding the Fourth Proportional to 400,593.40, 600,851.16 and 105,105.40

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Solution

The fourth proportional to 400,593.40, 600,851.16 and 105,105.40 is: 157,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,593.40 : 600,851.16 = 105,105.40 : x
  2. Step 2: Convert to fraction form
    400,593.40/600,851.16 = 105,105.40/x
  3. Step 3: Cross multiply
    400,593.40x = 600,851.16 × 105,105.40
  4. Step 4: Simplify right side
    400,593.40x = 63,152,701,512.26
  5. Step 5: Solve for x
    x = 63,152,701,512.26/400,593.40
  6. Step 6: Final answer
    x = 157,647.88

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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.