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Finding the Fourth Proportional to 683,830.80, 943,722.63 and 411,984.27

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Solution

The fourth proportional to 683,830.80, 943,722.63 and 411,984.27 is: 568,560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,830.80 : 943,722.63 = 411,984.27 : x
  2. Step 2: Convert to fraction form
    683,830.80/943,722.63 = 411,984.27/x
  3. Step 3: Cross multiply
    683,830.80x = 943,722.63 × 411,984.27
  4. Step 4: Simplify right side
    683,830.80x = 388,798,878,803.03
  5. Step 5: Solve for x
    x = 388,798,878,803.03/683,830.80
  6. Step 6: Final answer
    x = 568,560.06

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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.