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Finding the Fourth Proportional to 596,273.68, 894,410.52 and 408,716.56

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Solution

The fourth proportional to 596,273.68, 894,410.52 and 408,716.56 is: 613,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,273.68 : 894,410.52 = 408,716.56 : x
  2. Step 2: Convert to fraction form
    596,273.68/894,410.52 = 408,716.56/x
  3. Step 3: Cross multiply
    596,273.68x = 894,410.52 × 408,716.56
  4. Step 4: Simplify right side
    596,273.68x = 365,560,390,962.21
  5. Step 5: Solve for x
    x = 365,560,390,962.21/596,273.68
  6. Step 6: Final answer
    x = 613,074.84

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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.