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Finding the Fourth Proportional to 289,826.80, 434,740.20 and 165,410.80

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Solution

The fourth proportional to 289,826.80, 434,740.20 and 165,410.80 is: 248,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,826.80 : 434,740.20 = 165,410.80 : x
  2. Step 2: Convert to fraction form
    289,826.80/434,740.20 = 165,410.80/x
  3. Step 3: Cross multiply
    289,826.80x = 434,740.20 × 165,410.80
  4. Step 4: Simplify right side
    289,826.80x = 71,910,724,274.16
  5. Step 5: Solve for x
    x = 71,910,724,274.16/289,826.80
  6. Step 6: Final answer
    x = 248,116.20

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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.