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Finding the Fourth Proportional to 519,099.30, 716,189.31 and 289,619.42

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Solution

The fourth proportional to 519,099.30, 716,189.31 and 289,619.42 is: 399,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,099.30 : 716,189.31 = 289,619.42 : x
  2. Step 2: Convert to fraction form
    519,099.30/716,189.31 = 289,619.42/x
  3. Step 3: Cross multiply
    519,099.30x = 716,189.31 × 289,619.42
  4. Step 4: Simplify right side
    519,099.30x = 207,422,328,991.45
  5. Step 5: Solve for x
    x = 207,422,328,991.45/519,099.30
  6. Step 6: Final answer
    x = 399,581.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.