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Finding the Fourth Proportional to 319,956.48, 480,074.85 and 151,596.97

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Solution

The fourth proportional to 319,956.48, 480,074.85 and 151,596.97 is: 227,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,956.48 : 480,074.85 = 151,596.97 : x
  2. Step 2: Convert to fraction form
    319,956.48/480,074.85 = 151,596.97/x
  3. Step 3: Cross multiply
    319,956.48x = 480,074.85 × 151,596.97
  4. Step 4: Simplify right side
    319,956.48x = 72,777,891,433.02
  5. Step 5: Solve for x
    x = 72,777,891,433.02/319,956.48
  6. Step 6: Final answer
    x = 227,461.85

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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.