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Finding the Fourth Proportional to 395,897.22, 546,345 and 226,132.56

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Solution

The fourth proportional to 395,897.22, 546,345 and 226,132.56 is: 312,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,897.22 : 546,345 = 226,132.56 : x
  2. Step 2: Convert to fraction form
    395,897.22/546,345 = 226,132.56/x
  3. Step 3: Cross multiply
    395,897.22x = 546,345 × 226,132.56
  4. Step 4: Simplify right side
    395,897.22x = 123,546,393,493.20
  5. Step 5: Solve for x
    x = 123,546,393,493.20/395,897.22
  6. Step 6: Final answer
    x = 312,066.84

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1.5x scale

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.