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Finding the Fourth Proportional to 410,821.80, 615,714.30 and 200,005.80

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Solution

The fourth proportional to 410,821.80, 615,714.30 and 200,005.80 is: 299,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,821.80 : 615,714.30 = 200,005.80 : x
  2. Step 2: Convert to fraction form
    410,821.80/615,714.30 = 200,005.80/x
  3. Step 3: Cross multiply
    410,821.80x = 615,714.30 × 200,005.80
  4. Step 4: Simplify right side
    410,821.80x = 123,146,431,142.94
  5. Step 5: Solve for x
    x = 123,146,431,142.94/410,821.80
  6. Step 6: Final answer
    x = 299,756.32

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Why These Related Problems?

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