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Finding the Fourth Proportional to 833,131.12, 1,149,714.34 and 451,157.90

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Solution

The fourth proportional to 833,131.12, 1,149,714.34 and 451,157.90 is: 622,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,131.12 : 1,149,714.34 = 451,157.90 : x
  2. Step 2: Convert to fraction form
    833,131.12/1,149,714.34 = 451,157.90/x
  3. Step 3: Cross multiply
    833,131.12x = 1,149,714.34 × 451,157.90
  4. Step 4: Simplify right side
    833,131.12x = 518,702,699,229.93
  5. Step 5: Solve for x
    x = 518,702,699,229.93/833,131.12
  6. Step 6: Final answer
    x = 622,594.32

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Why These Related Problems?

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