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Finding the Fourth Proportional to 520,123.06, 780,806.67 and 309,860.02

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Solution

The fourth proportional to 520,123.06, 780,806.67 and 309,860.02 is: 465,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,123.06 : 780,806.67 = 309,860.02 : x
  2. Step 2: Convert to fraction form
    520,123.06/780,806.67 = 309,860.02/x
  3. Step 3: Cross multiply
    520,123.06x = 780,806.67 × 309,860.02
  4. Step 4: Simplify right side
    520,123.06x = 241,940,770,382.33
  5. Step 5: Solve for x
    x = 241,940,770,382.33/520,123.06
  6. Step 6: Final answer
    x = 465,160.63

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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.