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Finding the Fourth Proportional to 397,204.32, 548,004.24 and 254,048.16

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Solution

The fourth proportional to 397,204.32, 548,004.24 and 254,048.16 is: 350,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,204.32 : 548,004.24 = 254,048.16 : x
  2. Step 2: Convert to fraction form
    397,204.32/548,004.24 = 254,048.16/x
  3. Step 3: Cross multiply
    397,204.32x = 548,004.24 × 254,048.16
  4. Step 4: Simplify right side
    397,204.32x = 139,219,468,844.20
  5. Step 5: Solve for x
    x = 139,219,468,844.20/397,204.32
  6. Step 6: Final answer
    x = 350,498.38

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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.