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Finding the Fourth Proportional to 378,032.60, 567,308.10 and 167,821.40

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Solution

The fourth proportional to 378,032.60, 567,308.10 and 167,821.40 is: 251,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,032.60 : 567,308.10 = 167,821.40 : x
  2. Step 2: Convert to fraction form
    378,032.60/567,308.10 = 167,821.40/x
  3. Step 3: Cross multiply
    378,032.60x = 567,308.10 × 167,821.40
  4. Step 4: Simplify right side
    378,032.60x = 95,206,439,573.34
  5. Step 5: Solve for x
    x = 95,206,439,573.34/378,032.60
  6. Step 6: Final answer
    x = 251,847.17

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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.