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Finding the Fourth Proportional to 378,023.04, 566,645.76 and 167,760

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Solution

The fourth proportional to 378,023.04, 566,645.76 and 167,760 is: 251,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,023.04 : 566,645.76 = 167,760 : x
  2. Step 2: Convert to fraction form
    378,023.04/566,645.76 = 167,760/x
  3. Step 3: Cross multiply
    378,023.04x = 566,645.76 × 167,760
  4. Step 4: Simplify right side
    378,023.04x = 95,060,492,697.60
  5. Step 5: Solve for x
    x = 95,060,492,697.60/378,023.04
  6. Step 6: Final answer
    x = 251,467.46

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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.