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Finding the Fourth Proportional to 289,476.21, 434,215.37 and 204,980.79

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Solution

The fourth proportional to 289,476.21, 434,215.37 and 204,980.79 is: 307,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,476.21 : 434,215.37 = 204,980.79 : x
  2. Step 2: Convert to fraction form
    289,476.21/434,215.37 = 204,980.79/x
  3. Step 3: Cross multiply
    289,476.21x = 434,215.37 × 204,980.79
  4. Step 4: Simplify right side
    289,476.21x = 89,005,809,572.74
  5. Step 5: Solve for x
    x = 89,005,809,572.74/289,476.21
  6. Step 6: Final answer
    x = 307,471.93

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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.