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Finding the Fourth Proportional to 429,436.24, 641,262.50 and 350,706.64

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Solution

The fourth proportional to 429,436.24, 641,262.50 and 350,706.64 is: 523,698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,436.24 : 641,262.50 = 350,706.64 : x
  2. Step 2: Convert to fraction form
    429,436.24/641,262.50 = 350,706.64/x
  3. Step 3: Cross multiply
    429,436.24x = 641,262.50 × 350,706.64
  4. Step 4: Simplify right side
    429,436.24x = 224,895,016,733
  5. Step 5: Solve for x
    x = 224,895,016,733/429,436.24
  6. Step 6: Final answer
    x = 523,698.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.