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Finding the Fourth Proportional to 386,200.26, 532,987.92 and 214,172.10

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Solution

The fourth proportional to 386,200.26, 532,987.92 and 214,172.10 is: 295,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,200.26 : 532,987.92 = 214,172.10 : x
  2. Step 2: Convert to fraction form
    386,200.26/532,987.92 = 214,172.10/x
  3. Step 3: Cross multiply
    386,200.26x = 532,987.92 × 214,172.10
  4. Step 4: Simplify right side
    386,200.26x = 114,151,142,101.03
  5. Step 5: Solve for x
    x = 114,151,142,101.03/386,200.26
  6. Step 6: Final answer
    x = 295,575.00

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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.