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Finding the Fourth Proportional to 419,126.54, 628,683.68 and 103,583.48

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Solution

The fourth proportional to 419,126.54, 628,683.68 and 103,583.48 is: 155,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,126.54 : 628,683.68 = 103,583.48 : x
  2. Step 2: Convert to fraction form
    419,126.54/628,683.68 = 103,583.48/x
  3. Step 3: Cross multiply
    419,126.54x = 628,683.68 × 103,583.48
  4. Step 4: Simplify right side
    419,126.54x = 65,121,243,393.61
  5. Step 5: Solve for x
    x = 65,121,243,393.61/419,126.54
  6. Step 6: Final answer
    x = 155,373.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.