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Finding the Fourth Proportional to 289,709.80, 434,564.70 and 261,716.20

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Solution

The fourth proportional to 289,709.80, 434,564.70 and 261,716.20 is: 392,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,709.80 : 434,564.70 = 261,716.20 : x
  2. Step 2: Convert to fraction form
    289,709.80/434,564.70 = 261,716.20/x
  3. Step 3: Cross multiply
    289,709.80x = 434,564.70 × 261,716.20
  4. Step 4: Simplify right side
    289,709.80x = 113,732,621,938.14
  5. Step 5: Solve for x
    x = 113,732,621,938.14/289,709.80
  6. Step 6: Final answer
    x = 392,574.30

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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.