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Finding the Fourth Proportional to 827,967.10, 1,142,689.80 and 460,481.52

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Solution

The fourth proportional to 827,967.10, 1,142,689.80 and 460,481.52 is: 635,517.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,967.10 : 1,142,689.80 = 460,481.52 : x
  2. Step 2: Convert to fraction form
    827,967.10/1,142,689.80 = 460,481.52/x
  3. Step 3: Cross multiply
    827,967.10x = 1,142,689.80 × 460,481.52
  4. Step 4: Simplify right side
    827,967.10x = 526,187,535,992.50
  5. Step 5: Solve for x
    x = 526,187,535,992.50/827,967.10
  6. Step 6: Final answer
    x = 635,517.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.