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Finding the Fourth Proportional to 823,860, 1,136,776.32 and 461,289.60

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Solution

The fourth proportional to 823,860, 1,136,776.32 and 461,289.60 is: 636,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,860 : 1,136,776.32 = 461,289.60 : x
  2. Step 2: Convert to fraction form
    823,860/1,136,776.32 = 461,289.60/x
  3. Step 3: Cross multiply
    823,860x = 1,136,776.32 × 461,289.60
  4. Step 4: Simplify right side
    823,860x = 524,383,093,942.27
  5. Step 5: Solve for x
    x = 524,383,093,942.27/823,860
  6. Step 6: Final answer
    x = 636,495.39

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1.5x scale

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.