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Finding the Fourth Proportional to 298,421.75, 411,758.17 and 177,539.41

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Solution

The fourth proportional to 298,421.75, 411,758.17 and 177,539.41 is: 244,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,421.75 : 411,758.17 = 177,539.41 : x
  2. Step 2: Convert to fraction form
    298,421.75/411,758.17 = 177,539.41/x
  3. Step 3: Cross multiply
    298,421.75x = 411,758.17 × 177,539.41
  4. Step 4: Simplify right side
    298,421.75x = 73,103,302,635.33
  5. Step 5: Solve for x
    x = 73,103,302,635.33/298,421.75
  6. Step 6: Final answer
    x = 244,966.40

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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.