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Finding the Fourth Proportional to 378,330.40, 567,236.40 and 178,746.40

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Solution

The fourth proportional to 378,330.40, 567,236.40 and 178,746.40 is: 267,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,330.40 : 567,236.40 = 178,746.40 : x
  2. Step 2: Convert to fraction form
    378,330.40/567,236.40 = 178,746.40/x
  3. Step 3: Cross multiply
    378,330.40x = 567,236.40 × 178,746.40
  4. Step 4: Simplify right side
    378,330.40x = 101,391,464,448.96
  5. Step 5: Solve for x
    x = 101,391,464,448.96/378,330.40
  6. Step 6: Final answer
    x = 267,997.14

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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.