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Finding the Fourth Proportional to 395,899.38, 546,326.64 and 214,607.52

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Solution

The fourth proportional to 395,899.38, 546,326.64 and 214,607.52 is: 296,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,899.38 : 546,326.64 = 214,607.52 : x
  2. Step 2: Convert to fraction form
    395,899.38/546,326.64 = 214,607.52/x
  3. Step 3: Cross multiply
    395,899.38x = 546,326.64 × 214,607.52
  4. Step 4: Simplify right side
    395,899.38x = 117,245,805,320.33
  5. Step 5: Solve for x
    x = 117,245,805,320.33/395,899.38
  6. Step 6: Final answer
    x = 296,150.52

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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.