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Finding the Fourth Proportional to 395,660.68, 546,011 and 214,377.20

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Solution

The fourth proportional to 395,660.68, 546,011 and 214,377.20 is: 295,840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,660.68 : 546,011 = 214,377.20 : x
  2. Step 2: Convert to fraction form
    395,660.68/546,011 = 214,377.20/x
  3. Step 3: Cross multiply
    395,660.68x = 546,011 × 214,377.20
  4. Step 4: Simplify right side
    395,660.68x = 117,052,309,349.20
  5. Step 5: Solve for x
    x = 117,052,309,349.20/395,660.68
  6. Step 6: Final answer
    x = 295,840.14

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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.