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Finding the Fourth Proportional to 827,199.90, 1,159,654.50 and 827,199.90

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Solution

The fourth proportional to 827,199.90, 1,159,654.50 and 827,199.90 is: 1,159,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,199.90 : 1,159,654.50 = 827,199.90 : x
  2. Step 2: Convert to fraction form
    827,199.90/1,159,654.50 = 827,199.90/x
  3. Step 3: Cross multiply
    827,199.90x = 1,159,654.50 × 827,199.90
  4. Step 4: Simplify right side
    827,199.90x = 959,266,086,434.55
  5. Step 5: Solve for x
    x = 959,266,086,434.55/827,199.90
  6. Step 6: Final answer
    x = 1,159,654.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.