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Finding the Fourth Proportional to 491,072.32, 677,686.80 and 289,868.32

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Solution

The fourth proportional to 491,072.32, 677,686.80 and 289,868.32 is: 400,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,072.32 : 677,686.80 = 289,868.32 : x
  2. Step 2: Convert to fraction form
    491,072.32/677,686.80 = 289,868.32/x
  3. Step 3: Cross multiply
    491,072.32x = 677,686.80 × 289,868.32
  4. Step 4: Simplify right side
    491,072.32x = 196,439,934,202.18
  5. Step 5: Solve for x
    x = 196,439,934,202.18/491,072.32
  6. Step 6: Final answer
    x = 400,022.41

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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.