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Finding the Fourth Proportional to 380,253.63, 570,941.16 and 212,102.49

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Solution

The fourth proportional to 380,253.63, 570,941.16 and 212,102.49 is: 318,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,253.63 : 570,941.16 = 212,102.49 : x
  2. Step 2: Convert to fraction form
    380,253.63/570,941.16 = 212,102.49/x
  3. Step 3: Cross multiply
    380,253.63x = 570,941.16 × 212,102.49
  4. Step 4: Simplify right side
    380,253.63x = 121,098,041,679.49
  5. Step 5: Solve for x
    x = 121,098,041,679.49/380,253.63
  6. Step 6: Final answer
    x = 318,466.50

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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.