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Finding the Fourth Proportional to 298,246.40, 411,445.98 and 177,321.80

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Solution

The fourth proportional to 298,246.40, 411,445.98 and 177,321.80 is: 244,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,246.40 : 411,445.98 = 177,321.80 : x
  2. Step 2: Convert to fraction form
    298,246.40/411,445.98 = 177,321.80/x
  3. Step 3: Cross multiply
    298,246.40x = 411,445.98 × 177,321.80
  4. Step 4: Simplify right side
    298,246.40x = 72,958,341,776.36
  5. Step 5: Solve for x
    x = 72,958,341,776.36/298,246.40
  6. Step 6: Final answer
    x = 244,624.38

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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.