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Finding the Fourth Proportional to 483,208.10, 724,552.95 and 202,408.10

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Solution

The fourth proportional to 483,208.10, 724,552.95 and 202,408.10 is: 303,503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,208.10 : 724,552.95 = 202,408.10 : x
  2. Step 2: Convert to fraction form
    483,208.10/724,552.95 = 202,408.10/x
  3. Step 3: Cross multiply
    483,208.10x = 724,552.95 × 202,408.10
  4. Step 4: Simplify right side
    483,208.10x = 146,655,385,958.90
  5. Step 5: Solve for x
    x = 146,655,385,958.90/483,208.10
  6. Step 6: Final answer
    x = 303,503.58

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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.