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Finding the Fourth Proportional to 289,474.80, 434,212.20 and 274,268.40

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Solution

The fourth proportional to 289,474.80, 434,212.20 and 274,268.40 is: 411,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,474.80 : 434,212.20 = 274,268.40 : x
  2. Step 2: Convert to fraction form
    289,474.80/434,212.20 = 274,268.40/x
  3. Step 3: Cross multiply
    289,474.80x = 434,212.20 × 274,268.40
  4. Step 4: Simplify right side
    289,474.80x = 119,090,685,354.48
  5. Step 5: Solve for x
    x = 119,090,685,354.48/289,474.80
  6. Step 6: Final answer
    x = 411,402.60

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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.