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Finding the Fourth Proportional to 822,779.16, 1,135,540.41 and 460,223.16

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Solution

The fourth proportional to 822,779.16, 1,135,540.41 and 460,223.16 is: 635,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,779.16 : 1,135,540.41 = 460,223.16 : x
  2. Step 2: Convert to fraction form
    822,779.16/1,135,540.41 = 460,223.16/x
  3. Step 3: Cross multiply
    822,779.16x = 1,135,540.41 × 460,223.16
  4. Step 4: Simplify right side
    822,779.16x = 522,601,995,797.90
  5. Step 5: Solve for x
    x = 522,601,995,797.90/822,779.16
  6. Step 6: Final answer
    x = 635,166.79

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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.