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Finding the Fourth Proportional to 264,428.80, 397,226.40 and 254,514.40

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Solution

The fourth proportional to 264,428.80, 397,226.40 and 254,514.40 is: 382,332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,428.80 : 397,226.40 = 254,514.40 : x
  2. Step 2: Convert to fraction form
    264,428.80/397,226.40 = 254,514.40/x
  3. Step 3: Cross multiply
    264,428.80x = 397,226.40 × 254,514.40
  4. Step 4: Simplify right side
    264,428.80x = 101,099,838,860.16
  5. Step 5: Solve for x
    x = 101,099,838,860.16/264,428.80
  6. Step 6: Final answer
    x = 382,332.93

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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.