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Finding the Fourth Proportional to 378,059.60, 567,348.60 and 167,848.40

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Solution

The fourth proportional to 378,059.60, 567,348.60 and 167,848.40 is: 251,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,059.60 : 567,348.60 = 167,848.40 : x
  2. Step 2: Convert to fraction form
    378,059.60/567,348.60 = 167,848.40/x
  3. Step 3: Cross multiply
    378,059.60x = 567,348.60 × 167,848.40
  4. Step 4: Simplify right side
    378,059.60x = 95,228,554,752.24
  5. Step 5: Solve for x
    x = 95,228,554,752.24/378,059.60
  6. Step 6: Final answer
    x = 251,887.68

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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.