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Finding the Fourth Proportional to 378,328.40, 567,233.40 and 178,744.40

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Solution

The fourth proportional to 378,328.40, 567,233.40 and 178,744.40 is: 267,994.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,328.40 : 567,233.40 = 178,744.40 : x
  2. Step 2: Convert to fraction form
    378,328.40/567,233.40 = 178,744.40/x
  3. Step 3: Cross multiply
    378,328.40x = 567,233.40 × 178,744.40
  4. Step 4: Simplify right side
    378,328.40x = 101,389,793,742.96
  5. Step 5: Solve for x
    x = 101,389,793,742.96/378,328.40
  6. Step 6: Final answer
    x = 267,994.14

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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.