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Finding the Fourth Proportional to 411,091.80, 616,983.30 and 200,909.40

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Solution

The fourth proportional to 411,091.80, 616,983.30 and 200,909.40 is: 301,533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,091.80 : 616,983.30 = 200,909.40 : x
  2. Step 2: Convert to fraction form
    411,091.80/616,983.30 = 200,909.40/x
  3. Step 3: Cross multiply
    411,091.80x = 616,983.30 × 200,909.40
  4. Step 4: Simplify right side
    411,091.80x = 123,957,744,613.02
  5. Step 5: Solve for x
    x = 123,957,744,613.02/411,091.80
  6. Step 6: Final answer
    x = 301,533.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.