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Finding the Fourth Proportional to 393,303.60, 542,619 and 232,077.96

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Solution

The fourth proportional to 393,303.60, 542,619 and 232,077.96 is: 320,184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,303.60 : 542,619 = 232,077.96 : x
  2. Step 2: Convert to fraction form
    393,303.60/542,619 = 232,077.96/x
  3. Step 3: Cross multiply
    393,303.60x = 542,619 × 232,077.96
  4. Step 4: Simplify right side
    393,303.60x = 125,929,910,577.24
  5. Step 5: Solve for x
    x = 125,929,910,577.24/393,303.60
  6. Step 6: Final answer
    x = 320,184.99

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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.