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Finding the Fourth Proportional to 308,451, 462,465.69 and 164,378.52

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Solution

The fourth proportional to 308,451, 462,465.69 and 164,378.52 is: 246,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,451 : 462,465.69 = 164,378.52 : x
  2. Step 2: Convert to fraction form
    308,451/462,465.69 = 164,378.52/x
  3. Step 3: Cross multiply
    308,451x = 462,465.69 × 164,378.52
  4. Step 4: Simplify right side
    308,451x = 76,019,425,672.98
  5. Step 5: Solve for x
    x = 76,019,425,672.98/308,451
  6. Step 6: Final answer
    x = 246,455.44

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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.