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Finding the Fourth Proportional to 652,855.41, 978,692.22 and 232,032.87

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Solution

The fourth proportional to 652,855.41, 978,692.22 and 232,032.87 is: 347,839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,855.41 : 978,692.22 = 232,032.87 : x
  2. Step 2: Convert to fraction form
    652,855.41/978,692.22 = 232,032.87/x
  3. Step 3: Cross multiply
    652,855.41x = 978,692.22 × 232,032.87
  4. Step 4: Simplify right side
    652,855.41x = 227,088,764,653.27
  5. Step 5: Solve for x
    x = 227,088,764,653.27/652,855.41
  6. Step 6: Final answer
    x = 347,839.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.