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Finding the Fourth Proportional to 651,142.80, 976,714.20 and 230,461.20

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Solution

The fourth proportional to 651,142.80, 976,714.20 and 230,461.20 is: 345,691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,142.80 : 976,714.20 = 230,461.20 : x
  2. Step 2: Convert to fraction form
    651,142.80/976,714.20 = 230,461.20/x
  3. Step 3: Cross multiply
    651,142.80x = 976,714.20 × 230,461.20
  4. Step 4: Simplify right side
    651,142.80x = 225,094,726,589.04
  5. Step 5: Solve for x
    x = 225,094,726,589.04/651,142.80
  6. Step 6: Final answer
    x = 345,691.80

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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.