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Finding the Fourth Proportional to 428,946.50, 643,463.49 and 148,462.94

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Solution

The fourth proportional to 428,946.50, 643,463.49 and 148,462.94 is: 222,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,946.50 : 643,463.49 = 148,462.94 : x
  2. Step 2: Convert to fraction form
    428,946.50/643,463.49 = 148,462.94/x
  3. Step 3: Cross multiply
    428,946.50x = 643,463.49 × 148,462.94
  4. Step 4: Simplify right side
    428,946.50x = 95,530,481,508.06
  5. Step 5: Solve for x
    x = 95,530,481,508.06/428,946.50
  6. Step 6: Final answer
    x = 222,709.55

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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.