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Finding the Fourth Proportional to 307,006.30, 461,200.65 and 295,255.90

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Solution

The fourth proportional to 307,006.30, 461,200.65 and 295,255.90 is: 443,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,006.30 : 461,200.65 = 295,255.90 : x
  2. Step 2: Convert to fraction form
    307,006.30/461,200.65 = 295,255.90/x
  3. Step 3: Cross multiply
    307,006.30x = 461,200.65 × 295,255.90
  4. Step 4: Simplify right side
    307,006.30x = 136,172,212,996.34
  5. Step 5: Solve for x
    x = 136,172,212,996.34/307,006.30
  6. Step 6: Final answer
    x = 443,548.59

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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.