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Finding the Fourth Proportional to 286,548.98, 395,418.38 and 157,484.66

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Solution

The fourth proportional to 286,548.98, 395,418.38 and 157,484.66 is: 217,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,548.98 : 395,418.38 = 157,484.66 : x
  2. Step 2: Convert to fraction form
    286,548.98/395,418.38 = 157,484.66/x
  3. Step 3: Cross multiply
    286,548.98x = 395,418.38 × 157,484.66
  4. Step 4: Simplify right side
    286,548.98x = 62,272,326,367.54
  5. Step 5: Solve for x
    x = 62,272,326,367.54/286,548.98
  6. Step 6: Final answer
    x = 217,318.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.