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Finding the Fourth Proportional to 574,475.14, 862,106.34 and 200,498.14

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Solution

The fourth proportional to 574,475.14, 862,106.34 and 200,498.14 is: 300,884.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,475.14 : 862,106.34 = 200,498.14 : x
  2. Step 2: Convert to fraction form
    574,475.14/862,106.34 = 200,498.14/x
  3. Step 3: Cross multiply
    574,475.14x = 862,106.34 × 200,498.14
  4. Step 4: Simplify right side
    574,475.14x = 172,850,717,652.21
  5. Step 5: Solve for x
    x = 172,850,717,652.21/574,475.14
  6. Step 6: Final answer
    x = 300,884.59

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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.