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Finding the Fourth Proportional to 463,078.67, 694,218.75 and 178,968.58

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Solution

The fourth proportional to 463,078.67, 694,218.75 and 178,968.58 is: 268,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,078.67 : 694,218.75 = 178,968.58 : x
  2. Step 2: Convert to fraction form
    463,078.67/694,218.75 = 178,968.58/x
  3. Step 3: Cross multiply
    463,078.67x = 694,218.75 × 178,968.58
  4. Step 4: Simplify right side
    463,078.67x = 124,243,345,632.42
  5. Step 5: Solve for x
    x = 124,243,345,632.42/463,078.67
  6. Step 6: Final answer
    x = 268,298.57

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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.