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Finding the Fourth Proportional to 827,706.80, 1,241,776.20 and 266,754.80

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Solution

The fourth proportional to 827,706.80, 1,241,776.20 and 266,754.80 is: 400,201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,706.80 : 1,241,776.20 = 266,754.80 : x
  2. Step 2: Convert to fraction form
    827,706.80/1,241,776.20 = 266,754.80/x
  3. Step 3: Cross multiply
    827,706.80x = 1,241,776.20 × 266,754.80
  4. Step 4: Simplify right side
    827,706.80x = 331,249,761,875.76
  5. Step 5: Solve for x
    x = 331,249,761,875.76/827,706.80
  6. Step 6: Final answer
    x = 400,201.81

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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.