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Finding the Fourth Proportional to 323,909.85, 485,408.06 and 152,949.16

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Solution

The fourth proportional to 323,909.85, 485,408.06 and 152,949.16 is: 229,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,909.85 : 485,408.06 = 152,949.16 : x
  2. Step 2: Convert to fraction form
    323,909.85/485,408.06 = 152,949.16/x
  3. Step 3: Cross multiply
    323,909.85x = 485,408.06 × 152,949.16
  4. Step 4: Simplify right side
    323,909.85x = 74,242,755,034.23
  5. Step 5: Solve for x
    x = 74,242,755,034.23/323,909.85
  6. Step 6: Final answer
    x = 229,208.08

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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.