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Finding the Fourth Proportional to 306,596.76, 459,897.19 and 106,916.37

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Solution

The fourth proportional to 306,596.76, 459,897.19 and 106,916.37 is: 160,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,596.76 : 459,897.19 = 106,916.37 : x
  2. Step 2: Convert to fraction form
    306,596.76/459,897.19 = 106,916.37/x
  3. Step 3: Cross multiply
    306,596.76x = 459,897.19 × 106,916.37
  4. Step 4: Simplify right side
    306,596.76x = 49,170,539,324.42
  5. Step 5: Solve for x
    x = 49,170,539,324.42/306,596.76
  6. Step 6: Final answer
    x = 160,375.27

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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.