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Finding the Fourth Proportional to 382,720.82, 574,058.18 and 169,426.32

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Solution

The fourth proportional to 382,720.82, 574,058.18 and 169,426.32 is: 254,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,720.82 : 574,058.18 = 169,426.32 : x
  2. Step 2: Convert to fraction form
    382,720.82/574,058.18 = 169,426.32/x
  3. Step 3: Cross multiply
    382,720.82x = 574,058.18 × 169,426.32
  4. Step 4: Simplify right side
    382,720.82x = 97,260,564,903.30
  5. Step 5: Solve for x
    x = 97,260,564,903.30/382,720.82
  6. Step 6: Final answer
    x = 254,129.28

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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.