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Finding the Fourth Proportional to 309,176, 463,593.60 and 95,884.88

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Solution

The fourth proportional to 309,176, 463,593.60 and 95,884.88 is: 143,774.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,176 : 463,593.60 = 95,884.88 : x
  2. Step 2: Convert to fraction form
    309,176/463,593.60 = 95,884.88/x
  3. Step 3: Cross multiply
    309,176x = 463,593.60 × 95,884.88
  4. Step 4: Simplify right side
    309,176x = 44,451,616,704.77
  5. Step 5: Solve for x
    x = 44,451,616,704.77/309,176
  6. Step 6: Final answer
    x = 143,774.47

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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.