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Finding the Fourth Proportional to 413,713.86, 620,606.42 and 114,194.49

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Solution

The fourth proportional to 413,713.86, 620,606.42 and 114,194.49 is: 171,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,713.86 : 620,606.42 = 114,194.49 : x
  2. Step 2: Convert to fraction form
    413,713.86/620,606.42 = 114,194.49/x
  3. Step 3: Cross multiply
    413,713.86x = 620,606.42 × 114,194.49
  4. Step 4: Simplify right side
    413,713.86x = 70,869,833,051.65
  5. Step 5: Solve for x
    x = 70,869,833,051.65/413,713.86
  6. Step 6: Final answer
    x = 171,301.57

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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.