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Finding the Fourth Proportional to 382,497.40, 573,746.10 and 213,844.60

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Solution

The fourth proportional to 382,497.40, 573,746.10 and 213,844.60 is: 320,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,497.40 : 573,746.10 = 213,844.60 : x
  2. Step 2: Convert to fraction form
    382,497.40/573,746.10 = 213,844.60/x
  3. Step 3: Cross multiply
    382,497.40x = 573,746.10 × 213,844.60
  4. Step 4: Simplify right side
    382,497.40x = 122,692,505,256.06
  5. Step 5: Solve for x
    x = 122,692,505,256.06/382,497.40
  6. Step 6: Final answer
    x = 320,766.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.