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Finding the Fourth Proportional to 422,329.32, 633,587.40 and 232,692.03

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Solution

The fourth proportional to 422,329.32, 633,587.40 and 232,692.03 is: 349,089.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,329.32 : 633,587.40 = 232,692.03 : x
  2. Step 2: Convert to fraction form
    422,329.32/633,587.40 = 232,692.03/x
  3. Step 3: Cross multiply
    422,329.32x = 633,587.40 × 232,692.03
  4. Step 4: Simplify right side
    422,329.32x = 147,430,738,288.42
  5. Step 5: Solve for x
    x = 147,430,738,288.42/422,329.32
  6. Step 6: Final answer
    x = 349,089.52

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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.