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Finding the Fourth Proportional to 532,758.24, 735,228.80 and 306,404

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Solution

The fourth proportional to 532,758.24, 735,228.80 and 306,404 is: 422,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,758.24 : 735,228.80 = 306,404 : x
  2. Step 2: Convert to fraction form
    532,758.24/735,228.80 = 306,404/x
  3. Step 3: Cross multiply
    532,758.24x = 735,228.80 × 306,404
  4. Step 4: Simplify right side
    532,758.24x = 225,277,045,235.20
  5. Step 5: Solve for x
    x = 225,277,045,235.20/532,758.24
  6. Step 6: Final answer
    x = 422,850.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.