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Finding the Fourth Proportional to 449,973.82, 673,735.20 and 316,654.30

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Solution

The fourth proportional to 449,973.82, 673,735.20 and 316,654.30 is: 474,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,973.82 : 673,735.20 = 316,654.30 : x
  2. Step 2: Convert to fraction form
    449,973.82/673,735.20 = 316,654.30/x
  3. Step 3: Cross multiply
    449,973.82x = 673,735.20 × 316,654.30
  4. Step 4: Simplify right side
    449,973.82x = 213,341,148,141.36
  5. Step 5: Solve for x
    x = 213,341,148,141.36/449,973.82
  6. Step 6: Final answer
    x = 474,119.02

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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.