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Finding the Fourth Proportional to 862,714.80, 1,293,100.20 and 413,650.80

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Solution

The fourth proportional to 862,714.80, 1,293,100.20 and 413,650.80 is: 620,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,714.80 : 1,293,100.20 = 413,650.80 : x
  2. Step 2: Convert to fraction form
    862,714.80/1,293,100.20 = 413,650.80/x
  3. Step 3: Cross multiply
    862,714.80x = 1,293,100.20 × 413,650.80
  4. Step 4: Simplify right side
    862,714.80x = 534,891,932,210.16
  5. Step 5: Solve for x
    x = 534,891,932,210.16/862,714.80
  6. Step 6: Final answer
    x = 620,010.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.