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Finding the Fourth Proportional to 387,014.22, 580,742.82 and 150,326.28

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Solution

The fourth proportional to 387,014.22, 580,742.82 and 150,326.28 is: 225,575.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,014.22 : 580,742.82 = 150,326.28 : x
  2. Step 2: Convert to fraction form
    387,014.22/580,742.82 = 150,326.28/x
  3. Step 3: Cross multiply
    387,014.22x = 580,742.82 × 150,326.28
  4. Step 4: Simplify right side
    387,014.22x = 87,300,907,767.31
  5. Step 5: Solve for x
    x = 87,300,907,767.31/387,014.22
  6. Step 6: Final answer
    x = 225,575.45

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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.