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Finding the Fourth Proportional to 323,664.61, 446,657.16 and 180,433.88

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Solution

The fourth proportional to 323,664.61, 446,657.16 and 180,433.88 is: 248,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,664.61 : 446,657.16 = 180,433.88 : x
  2. Step 2: Convert to fraction form
    323,664.61/446,657.16 = 180,433.88/x
  3. Step 3: Cross multiply
    323,664.61x = 446,657.16 × 180,433.88
  4. Step 4: Simplify right side
    323,664.61x = 80,592,084,019.42
  5. Step 5: Solve for x
    x = 80,592,084,019.42/323,664.61
  6. Step 6: Final answer
    x = 248,998.75

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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.