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Finding the Fourth Proportional to 397,064.16, 548,076.24 and 254,208.96

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Solution

The fourth proportional to 397,064.16, 548,076.24 and 254,208.96 is: 350,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,064.16 : 548,076.24 = 254,208.96 : x
  2. Step 2: Convert to fraction form
    397,064.16/548,076.24 = 254,208.96/x
  3. Step 3: Cross multiply
    397,064.16x = 548,076.24 × 254,208.96
  4. Step 4: Simplify right side
    397,064.16x = 139,325,890,971.11
  5. Step 5: Solve for x
    x = 139,325,890,971.11/397,064.16
  6. Step 6: Final answer
    x = 350,890.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.