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Finding the Fourth Proportional to 574,472.64, 862,102.59 and 200,495.64

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Solution

The fourth proportional to 574,472.64, 862,102.59 and 200,495.64 is: 300,880.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,472.64 : 862,102.59 = 200,495.64 : x
  2. Step 2: Convert to fraction form
    574,472.64/862,102.59 = 200,495.64/x
  3. Step 3: Cross multiply
    574,472.64x = 862,102.59 × 200,495.64
  4. Step 4: Simplify right side
    574,472.64x = 172,847,810,527.71
  5. Step 5: Solve for x
    x = 172,847,810,527.71/574,472.64
  6. Step 6: Final answer
    x = 300,880.84

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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.