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Finding the Fourth Proportional to 395,670.72, 546,024.60 and 214,387.44

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Solution

The fourth proportional to 395,670.72, 546,024.60 and 214,387.44 is: 295,854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,670.72 : 546,024.60 = 214,387.44 : x
  2. Step 2: Convert to fraction form
    395,670.72/546,024.60 = 214,387.44/x
  3. Step 3: Cross multiply
    395,670.72x = 546,024.60 × 214,387.44
  4. Step 4: Simplify right side
    395,670.72x = 117,060,816,171.02
  5. Step 5: Solve for x
    x = 117,060,816,171.02/395,670.72
  6. Step 6: Final answer
    x = 295,854.13

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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.