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Finding the Fourth Proportional to 827,200.90, 1,159,655.90 and 827,200.90

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Solution

The fourth proportional to 827,200.90, 1,159,655.90 and 827,200.90 is: 1,159,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,200.90 : 1,159,655.90 = 827,200.90 : x
  2. Step 2: Convert to fraction form
    827,200.90/1,159,655.90 = 827,200.90/x
  3. Step 3: Cross multiply
    827,200.90x = 1,159,655.90 × 827,200.90
  4. Step 4: Simplify right side
    827,200.90x = 959,268,404,170.31
  5. Step 5: Solve for x
    x = 959,268,404,170.31/827,200.90
  6. Step 6: Final answer
    x = 1,159,655.90

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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.