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Finding the Fourth Proportional to 382,892.45, 574,338.51 and 158,005.67

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Solution

The fourth proportional to 382,892.45, 574,338.51 and 158,005.67 is: 237,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,892.45 : 574,338.51 = 158,005.67 : x
  2. Step 2: Convert to fraction form
    382,892.45/574,338.51 = 158,005.67/x
  3. Step 3: Cross multiply
    382,892.45x = 574,338.51 × 158,005.67
  4. Step 4: Simplify right side
    382,892.45x = 90,748,738,207.66
  5. Step 5: Solve for x
    x = 90,748,738,207.66/382,892.45
  6. Step 6: Final answer
    x = 237,008.43

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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.