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Finding the Fourth Proportional to 699,786, 1,049,595.66 and 411,769.80

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Solution

The fourth proportional to 699,786, 1,049,595.66 and 411,769.80 is: 617,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,786 : 1,049,595.66 = 411,769.80 : x
  2. Step 2: Convert to fraction form
    699,786/1,049,595.66 = 411,769.80/x
  3. Step 3: Cross multiply
    699,786x = 1,049,595.66 × 411,769.80
  4. Step 4: Simplify right side
    699,786x = 432,191,794,999.07
  5. Step 5: Solve for x
    x = 432,191,794,999.07/699,786
  6. Step 6: Final answer
    x = 617,605.66

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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.