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Finding the Fourth Proportional to 319,523.63, 478,792.76 and 157,231.37

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Solution

The fourth proportional to 319,523.63, 478,792.76 and 157,231.37 is: 235,604.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,523.63 : 478,792.76 = 157,231.37 : x
  2. Step 2: Convert to fraction form
    319,523.63/478,792.76 = 157,231.37/x
  3. Step 3: Cross multiply
    319,523.63x = 478,792.76 × 157,231.37
  4. Step 4: Simplify right side
    319,523.63x = 75,281,240,814.72
  5. Step 5: Solve for x
    x = 75,281,240,814.72/319,523.63
  6. Step 6: Final answer
    x = 235,604.61

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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.