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Finding the Fourth Proportional to 395,625.30, 545,962.14 and 214,341.75

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Solution

The fourth proportional to 395,625.30, 545,962.14 and 214,341.75 is: 295,791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,625.30 : 545,962.14 = 214,341.75 : x
  2. Step 2: Convert to fraction form
    395,625.30/545,962.14 = 214,341.75/x
  3. Step 3: Cross multiply
    395,625.30x = 545,962.14 × 214,341.75
  4. Step 4: Simplify right side
    395,625.30x = 117,022,480,521.35
  5. Step 5: Solve for x
    x = 117,022,480,521.35/395,625.30
  6. Step 6: Final answer
    x = 295,791.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.