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Finding the Fourth Proportional to 365,738.14, 548,108.70 and 223,633

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Solution

The fourth proportional to 365,738.14, 548,108.70 and 223,633 is: 335,144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,738.14 : 548,108.70 = 223,633 : x
  2. Step 2: Convert to fraction form
    365,738.14/548,108.70 = 223,633/x
  3. Step 3: Cross multiply
    365,738.14x = 548,108.70 × 223,633
  4. Step 4: Simplify right side
    365,738.14x = 122,575,192,907.10
  5. Step 5: Solve for x
    x = 122,575,192,907.10/365,738.14
  6. Step 6: Final answer
    x = 335,144.68

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1.5x scale

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.