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Finding the Fourth Proportional to 413,731.14, 620,584.31 and 114,230

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Solution

The fourth proportional to 413,731.14, 620,584.31 and 114,230 is: 171,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,731.14 : 620,584.31 = 114,230 : x
  2. Step 2: Convert to fraction form
    413,731.14/620,584.31 = 114,230/x
  3. Step 3: Cross multiply
    413,731.14x = 620,584.31 × 114,230
  4. Step 4: Simplify right side
    413,731.14x = 70,889,345,731.30
  5. Step 5: Solve for x
    x = 70,889,345,731.30/413,731.14
  6. Step 6: Final answer
    x = 171,341.58

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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.