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Finding the Fourth Proportional to 699,793, 1,049,606.16 and 411,776.80

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Solution

The fourth proportional to 699,793, 1,049,606.16 and 411,776.80 is: 617,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,793 : 1,049,606.16 = 411,776.80 : x
  2. Step 2: Convert to fraction form
    699,793/1,049,606.16 = 411,776.80/x
  3. Step 3: Cross multiply
    699,793x = 1,049,606.16 × 411,776.80
  4. Step 4: Simplify right side
    699,793x = 432,203,465,825.09
  5. Step 5: Solve for x
    x = 432,203,465,825.09/699,793
  6. Step 6: Final answer
    x = 617,616.16

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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.