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Finding the Fourth Proportional to 319,891.46, 480,206.25 and 162,452.07

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Solution

The fourth proportional to 319,891.46, 480,206.25 and 162,452.07 is: 243,865.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,891.46 : 480,206.25 = 162,452.07 : x
  2. Step 2: Convert to fraction form
    319,891.46/480,206.25 = 162,452.07/x
  3. Step 3: Cross multiply
    319,891.46x = 480,206.25 × 162,452.07
  4. Step 4: Simplify right side
    319,891.46x = 78,010,499,235.27
  5. Step 5: Solve for x
    x = 78,010,499,235.27/319,891.46
  6. Step 6: Final answer
    x = 243,865.52

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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.