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Finding the Fourth Proportional to 335,674.32, 463,176.36 and 192,408

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Solution

The fourth proportional to 335,674.32, 463,176.36 and 192,408 is: 265,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,674.32 : 463,176.36 = 192,408 : x
  2. Step 2: Convert to fraction form
    335,674.32/463,176.36 = 192,408/x
  3. Step 3: Cross multiply
    335,674.32x = 463,176.36 × 192,408
  4. Step 4: Simplify right side
    335,674.32x = 89,118,837,074.88
  5. Step 5: Solve for x
    x = 89,118,837,074.88/335,674.32
  6. Step 6: Final answer
    x = 265,491.97

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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.