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Finding the Fourth Proportional to 474,508.44, 654,823.62 and 256,716.42

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Solution

The fourth proportional to 474,508.44, 654,823.62 and 256,716.42 is: 354,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,508.44 : 654,823.62 = 256,716.42 : x
  2. Step 2: Convert to fraction form
    474,508.44/654,823.62 = 256,716.42/x
  3. Step 3: Cross multiply
    474,508.44x = 654,823.62 × 256,716.42
  4. Step 4: Simplify right side
    474,508.44x = 168,103,975,457.84
  5. Step 5: Solve for x
    x = 168,103,975,457.84/474,508.44
  6. Step 6: Final answer
    x = 354,269.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.