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Finding the Fourth Proportional to 318,632.99, 478,245.13 and 160,972.16

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Solution

The fourth proportional to 318,632.99, 478,245.13 and 160,972.16 is: 241,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,632.99 : 478,245.13 = 160,972.16 : x
  2. Step 2: Convert to fraction form
    318,632.99/478,245.13 = 160,972.16/x
  3. Step 3: Cross multiply
    318,632.99x = 478,245.13 × 160,972.16
  4. Step 4: Simplify right side
    318,632.99x = 76,984,148,791.92
  5. Step 5: Solve for x
    x = 76,984,148,791.92/318,632.99
  6. Step 6: Final answer
    x = 241,607.59

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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.