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Finding the Fourth Proportional to 413,717.49, 620,563.88 and 114,216.35

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Solution

The fourth proportional to 413,717.49, 620,563.88 and 114,216.35 is: 171,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,717.49 : 620,563.88 = 114,216.35 : x
  2. Step 2: Convert to fraction form
    413,717.49/620,563.88 = 114,216.35/x
  3. Step 3: Cross multiply
    413,717.49x = 620,563.88 × 114,216.35
  4. Step 4: Simplify right side
    413,717.49x = 70,878,538,212.62
  5. Step 5: Solve for x
    x = 70,878,538,212.62/413,717.49
  6. Step 6: Final answer
    x = 171,321.11

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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.