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Finding the Fourth Proportional to 463,078.42, 694,218.38 and 178,968.33

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Solution

The fourth proportional to 463,078.42, 694,218.38 and 178,968.33 is: 268,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,078.42 : 694,218.38 = 178,968.33 : x
  2. Step 2: Convert to fraction form
    463,078.42/694,218.38 = 178,968.33/x
  3. Step 3: Cross multiply
    463,078.42x = 694,218.38 × 178,968.33
  4. Step 4: Simplify right side
    463,078.42x = 124,243,104,096.84
  5. Step 5: Solve for x
    x = 124,243,104,096.84/463,078.42
  6. Step 6: Final answer
    x = 268,298.19

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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.