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Finding the Fourth Proportional to 264,448.80, 397,256.40 and 254,534.40

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Solution

The fourth proportional to 264,448.80, 397,256.40 and 254,534.40 is: 382,362.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,448.80 : 397,256.40 = 254,534.40 : x
  2. Step 2: Convert to fraction form
    264,448.80/397,256.40 = 254,534.40/x
  3. Step 3: Cross multiply
    264,448.80x = 397,256.40 × 254,534.40
  4. Step 4: Simplify right side
    264,448.80x = 101,115,419,420.16
  5. Step 5: Solve for x
    x = 101,115,419,420.16/264,448.80
  6. Step 6: Final answer
    x = 382,362.94

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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.