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Finding the Fourth Proportional to 385,716.18, 532,276.56 and 213,627.33

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Solution

The fourth proportional to 385,716.18, 532,276.56 and 213,627.33 is: 294,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,716.18 : 532,276.56 = 213,627.33 : x
  2. Step 2: Convert to fraction form
    385,716.18/532,276.56 = 213,627.33/x
  3. Step 3: Cross multiply
    385,716.18x = 532,276.56 × 213,627.33
  4. Step 4: Simplify right side
    385,716.18x = 113,708,820,334.39
  5. Step 5: Solve for x
    x = 113,708,820,334.39/385,716.18
  6. Step 6: Final answer
    x = 294,799.20

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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.