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Finding the Fourth Proportional to 380,202.72, 524,671.92 and 210,426.72

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Solution

The fourth proportional to 380,202.72, 524,671.92 and 210,426.72 is: 290,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,202.72 : 524,671.92 = 210,426.72 : x
  2. Step 2: Convert to fraction form
    380,202.72/524,671.92 = 210,426.72/x
  3. Step 3: Cross multiply
    380,202.72x = 524,671.92 × 210,426.72
  4. Step 4: Simplify right side
    380,202.72x = 110,404,991,201.70
  5. Step 5: Solve for x
    x = 110,404,991,201.70/380,202.72
  6. Step 6: Final answer
    x = 290,384.54

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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.