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Finding the Fourth Proportional to 309,028.10, 463,614.44 and 95,784.84

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Solution

The fourth proportional to 309,028.10, 463,614.44 and 95,784.84 is: 143,699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,028.10 : 463,614.44 = 95,784.84 : x
  2. Step 2: Convert to fraction form
    309,028.10/463,614.44 = 95,784.84/x
  3. Step 3: Cross multiply
    309,028.10x = 463,614.44 × 95,784.84
  4. Step 4: Simplify right side
    309,028.10x = 44,407,234,478.17
  5. Step 5: Solve for x
    x = 44,407,234,478.17/309,028.10
  6. Step 6: Final answer
    x = 143,699.67

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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.