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Finding the Fourth Proportional to 323,289.98, 446,154 and 180,050

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Solution

The fourth proportional to 323,289.98, 446,154 and 180,050 is: 248,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,289.98 : 446,154 = 180,050 : x
  2. Step 2: Convert to fraction form
    323,289.98/446,154 = 180,050/x
  3. Step 3: Cross multiply
    323,289.98x = 446,154 × 180,050
  4. Step 4: Simplify right side
    323,289.98x = 80,330,027,700
  5. Step 5: Solve for x
    x = 80,330,027,700/323,289.98
  6. Step 6: Final answer
    x = 248,476.70

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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.