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Finding the Fourth Proportional to 683,833.05, 943,725.74 and 411,986.52

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Solution

The fourth proportional to 683,833.05, 943,725.74 and 411,986.52 is: 568,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,833.05 : 943,725.74 = 411,986.52 : x
  2. Step 2: Convert to fraction form
    683,833.05/943,725.74 = 411,986.52/x
  3. Step 3: Cross multiply
    683,833.05x = 943,725.74 × 411,986.52
  4. Step 4: Simplify right side
    683,833.05x = 388,802,281,397.09
  5. Step 5: Solve for x
    x = 388,802,281,397.09/683,833.05
  6. Step 6: Final answer
    x = 568,563.16

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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.