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Finding the Fourth Proportional to 309,162.68, 463,634.67 and 147,037.64

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Solution

The fourth proportional to 309,162.68, 463,634.67 and 147,037.64 is: 220,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,162.68 : 463,634.67 = 147,037.64 : x
  2. Step 2: Convert to fraction form
    309,162.68/463,634.67 = 147,037.64/x
  3. Step 3: Cross multiply
    309,162.68x = 463,634.67 × 147,037.64
  4. Step 4: Simplify right side
    309,162.68x = 68,171,748,858.07
  5. Step 5: Solve for x
    x = 68,171,748,858.07/309,162.68
  6. Step 6: Final answer
    x = 220,504.46

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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.