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Finding the Fourth Proportional to 274,910.80, 411,751.80 and 212,088.40

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Solution

The fourth proportional to 274,910.80, 411,751.80 and 212,088.40 is: 317,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,910.80 : 411,751.80 = 212,088.40 : x
  2. Step 2: Convert to fraction form
    274,910.80/411,751.80 = 212,088.40/x
  3. Step 3: Cross multiply
    274,910.80x = 411,751.80 × 212,088.40
  4. Step 4: Simplify right side
    274,910.80x = 87,327,780,459.12
  5. Step 5: Solve for x
    x = 87,327,780,459.12/274,910.80
  6. Step 6: Final answer
    x = 317,658.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.