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Finding the Fourth Proportional to 378,026.16, 566,717.40 and 167,549.28

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Solution

The fourth proportional to 378,026.16, 566,717.40 and 167,549.28 is: 251,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,026.16 : 566,717.40 = 167,549.28 : x
  2. Step 2: Convert to fraction form
    378,026.16/566,717.40 = 167,549.28/x
  3. Step 3: Cross multiply
    378,026.16x = 566,717.40 × 167,549.28
  4. Step 4: Simplify right side
    378,026.16x = 94,953,092,333.47
  5. Step 5: Solve for x
    x = 94,953,092,333.47/378,026.16
  6. Step 6: Final answer
    x = 251,181.27

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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.