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Finding the Fourth Proportional to 323,597.21, 446,566.23 and 180,366.35

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Solution

The fourth proportional to 323,597.21, 446,566.23 and 180,366.35 is: 248,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,597.21 : 446,566.23 = 180,366.35 : x
  2. Step 2: Convert to fraction form
    323,597.21/446,566.23 = 180,366.35/x
  3. Step 3: Cross multiply
    323,597.21x = 446,566.23 × 180,366.35
  4. Step 4: Simplify right side
    323,597.21x = 80,545,518,705.53
  5. Step 5: Solve for x
    x = 80,545,518,705.53/323,597.21
  6. Step 6: Final answer
    x = 248,906.72

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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.