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Finding the Fourth Proportional to 631,617.40, 946,965.30 and 257,447.80

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Solution

The fourth proportional to 631,617.40, 946,965.30 and 257,447.80 is: 385,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,617.40 : 946,965.30 = 257,447.80 : x
  2. Step 2: Convert to fraction form
    631,617.40/946,965.30 = 257,447.80/x
  3. Step 3: Cross multiply
    631,617.40x = 946,965.30 × 257,447.80
  4. Step 4: Simplify right side
    631,617.40x = 243,794,133,161.34
  5. Step 5: Solve for x
    x = 243,794,133,161.34/631,617.40
  6. Step 6: Final answer
    x = 385,983.88

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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.