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Finding the Fourth Proportional to 417,649.56, 626,448.42 and 180,827.16

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Solution

The fourth proportional to 417,649.56, 626,448.42 and 180,827.16 is: 271,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,649.56 : 626,448.42 = 180,827.16 : x
  2. Step 2: Convert to fraction form
    417,649.56/626,448.42 = 180,827.16/x
  3. Step 3: Cross multiply
    417,649.56x = 626,448.42 × 180,827.16
  4. Step 4: Simplify right side
    417,649.56x = 113,278,888,675.09
  5. Step 5: Solve for x
    x = 113,278,888,675.09/417,649.56
  6. Step 6: Final answer
    x = 271,229.52

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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.