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Finding the Fourth Proportional to 382,971.62, 574,519.80 and 113,127.14

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Solution

The fourth proportional to 382,971.62, 574,519.80 and 113,127.14 is: 169,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,971.62 : 574,519.80 = 113,127.14 : x
  2. Step 2: Convert to fraction form
    382,971.62/574,519.80 = 113,127.14/x
  3. Step 3: Cross multiply
    382,971.62x = 574,519.80 × 113,127.14
  4. Step 4: Simplify right side
    382,971.62x = 64,993,781,847.37
  5. Step 5: Solve for x
    x = 64,993,781,847.37/382,971.62
  6. Step 6: Final answer
    x = 169,709.13

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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.