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Finding the Fourth Proportional to 264,857.20, 397,285.80 and 264,857.20

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Solution

The fourth proportional to 264,857.20, 397,285.80 and 264,857.20 is: 397,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,857.20 : 397,285.80 = 264,857.20 : x
  2. Step 2: Convert to fraction form
    264,857.20/397,285.80 = 264,857.20/x
  3. Step 3: Cross multiply
    264,857.20x = 397,285.80 × 264,857.20
  4. Step 4: Simplify right side
    264,857.20x = 105,224,004,587.76
  5. Step 5: Solve for x
    x = 105,224,004,587.76/264,857.20
  6. Step 6: Final answer
    x = 397,285.80

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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.