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Finding the Fourth Proportional to 395,110.73, 545,254.16 and 213,822.60

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Solution

The fourth proportional to 395,110.73, 545,254.16 and 213,822.60 is: 295,075.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,110.73 : 545,254.16 = 213,822.60 : x
  2. Step 2: Convert to fraction form
    395,110.73/545,254.16 = 213,822.60/x
  3. Step 3: Cross multiply
    395,110.73x = 545,254.16 × 213,822.60
  4. Step 4: Simplify right side
    395,110.73x = 116,587,662,152.02
  5. Step 5: Solve for x
    x = 116,587,662,152.02/395,110.73
  6. Step 6: Final answer
    x = 295,075.92

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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.