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Finding the Fourth Proportional to 737,505, 1,017,740.16 and 410,815.80

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Solution

The fourth proportional to 737,505, 1,017,740.16 and 410,815.80 is: 566,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,505 : 1,017,740.16 = 410,815.80 : x
  2. Step 2: Convert to fraction form
    737,505/1,017,740.16 = 410,815.80/x
  3. Step 3: Cross multiply
    737,505x = 1,017,740.16 × 410,815.80
  4. Step 4: Simplify right side
    737,505x = 418,103,738,022.53
  5. Step 5: Solve for x
    x = 418,103,738,022.53/737,505
  6. Step 6: Final answer
    x = 566,916.48

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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.