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Finding the Fourth Proportional to 501,343.52, 691,942.50 and 297,506.84

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Solution

The fourth proportional to 501,343.52, 691,942.50 and 297,506.84 is: 410,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,343.52 : 691,942.50 = 297,506.84 : x
  2. Step 2: Convert to fraction form
    501,343.52/691,942.50 = 297,506.84/x
  3. Step 3: Cross multiply
    501,343.52x = 691,942.50 × 297,506.84
  4. Step 4: Simplify right side
    501,343.52x = 205,857,626,636.70
  5. Step 5: Solve for x
    x = 205,857,626,636.70/501,343.52
  6. Step 6: Final answer
    x = 410,611.92

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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.