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Finding the Fourth Proportional to 476,452.72, 714,488.32 and 210,023.88

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Solution

The fourth proportional to 476,452.72, 714,488.32 and 210,023.88 is: 314,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,452.72 : 714,488.32 = 210,023.88 : x
  2. Step 2: Convert to fraction form
    476,452.72/714,488.32 = 210,023.88/x
  3. Step 3: Cross multiply
    476,452.72x = 714,488.32 × 210,023.88
  4. Step 4: Simplify right side
    476,452.72x = 150,059,609,181.08
  5. Step 5: Solve for x
    x = 150,059,609,181.08/476,452.72
  6. Step 6: Final answer
    x = 314,951.73

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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.