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Finding the Fourth Proportional to 483,257.99, 724,609.16 and 199,144.64

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Solution

The fourth proportional to 483,257.99, 724,609.16 and 199,144.64 is: 298,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,257.99 : 724,609.16 = 199,144.64 : x
  2. Step 2: Convert to fraction form
    483,257.99/724,609.16 = 199,144.64/x
  3. Step 3: Cross multiply
    483,257.99x = 724,609.16 × 199,144.64
  4. Step 4: Simplify right side
    483,257.99x = 144,302,029,313.18
  5. Step 5: Solve for x
    x = 144,302,029,313.18/483,257.99
  6. Step 6: Final answer
    x = 298,602.47

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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.