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Finding the Fourth Proportional to 395,995.48, 546,476.19 and 214,705.82

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Solution

The fourth proportional to 395,995.48, 546,476.19 and 214,705.82 is: 296,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,995.48 : 546,476.19 = 214,705.82 : x
  2. Step 2: Convert to fraction form
    395,995.48/546,476.19 = 214,705.82/x
  3. Step 3: Cross multiply
    395,995.48x = 546,476.19 × 214,705.82
  4. Step 4: Simplify right side
    395,995.48x = 117,331,618,484.43
  5. Step 5: Solve for x
    x = 117,331,618,484.43/395,995.48
  6. Step 6: Final answer
    x = 296,295.35

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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.