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Finding the Fourth Proportional to 386,675.82, 580,077.97 and 162,053.15

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Solution

The fourth proportional to 386,675.82, 580,077.97 and 162,053.15 is: 243,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,675.82 : 580,077.97 = 162,053.15 : x
  2. Step 2: Convert to fraction form
    386,675.82/580,077.97 = 162,053.15/x
  3. Step 3: Cross multiply
    386,675.82x = 580,077.97 × 162,053.15
  4. Step 4: Simplify right side
    386,675.82x = 94,003,458,978.58
  5. Step 5: Solve for x
    x = 94,003,458,978.58/386,675.82
  6. Step 6: Final answer
    x = 243,106.64

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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.