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Finding the Fourth Proportional to 370,857.84, 511,868.52 and 217,914

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Solution

The fourth proportional to 370,857.84, 511,868.52 and 217,914 is: 300,771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,857.84 : 511,868.52 = 217,914 : x
  2. Step 2: Convert to fraction form
    370,857.84/511,868.52 = 217,914/x
  3. Step 3: Cross multiply
    370,857.84x = 511,868.52 × 217,914
  4. Step 4: Simplify right side
    370,857.84x = 111,543,316,667.28
  5. Step 5: Solve for x
    x = 111,543,316,667.28/370,857.84
  6. Step 6: Final answer
    x = 300,771.09

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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.