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Finding the Fourth Proportional to 309,162.84, 463,783.86 and 95,944.92

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Solution

The fourth proportional to 309,162.84, 463,783.86 and 95,944.92 is: 143,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,162.84 : 463,783.86 = 95,944.92 : x
  2. Step 2: Convert to fraction form
    309,162.84/463,783.86 = 95,944.92/x
  3. Step 3: Cross multiply
    309,162.84x = 463,783.86 × 95,944.92
  4. Step 4: Simplify right side
    309,162.84x = 44,497,705,344.99
  5. Step 5: Solve for x
    x = 44,497,705,344.99/309,162.84
  6. Step 6: Final answer
    x = 143,929.67

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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.