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Finding the Fourth Proportional to 395,680.70, 546,039.85 and 214,392.58

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Solution

The fourth proportional to 395,680.70, 546,039.85 and 214,392.58 is: 295,862.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,680.70 : 546,039.85 = 214,392.58 : x
  2. Step 2: Convert to fraction form
    395,680.70/546,039.85 = 214,392.58/x
  3. Step 3: Cross multiply
    395,680.70x = 546,039.85 × 214,392.58
  4. Step 4: Simplify right side
    395,680.70x = 117,066,891,561.38
  5. Step 5: Solve for x
    x = 117,066,891,561.38/395,680.70
  6. Step 6: Final answer
    x = 295,862.02

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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.