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Finding the Fourth Proportional to 380,254.64, 570,942.66 and 212,103.50

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Solution

The fourth proportional to 380,254.64, 570,942.66 and 212,103.50 is: 318,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,254.64 : 570,942.66 = 212,103.50 : x
  2. Step 2: Convert to fraction form
    380,254.64/570,942.66 = 212,103.50/x
  3. Step 3: Cross multiply
    380,254.64x = 570,942.66 × 212,103.50
  4. Step 4: Simplify right side
    380,254.64x = 121,098,936,485.31
  5. Step 5: Solve for x
    x = 121,098,936,485.31/380,254.64
  6. Step 6: Final answer
    x = 318,468.00

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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.