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Finding the Fourth Proportional to 369,174.38, 509,460.84 and 199,408.50

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Solution

The fourth proportional to 369,174.38, 509,460.84 and 199,408.50 is: 275,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,174.38 : 509,460.84 = 199,408.50 : x
  2. Step 2: Convert to fraction form
    369,174.38/509,460.84 = 199,408.50/x
  3. Step 3: Cross multiply
    369,174.38x = 509,460.84 × 199,408.50
  4. Step 4: Simplify right side
    369,174.38x = 101,590,821,913.14
  5. Step 5: Solve for x
    x = 101,590,821,913.14/369,174.38
  6. Step 6: Final answer
    x = 275,183.84

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1.5x scale

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.