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Finding the Fourth Proportional to 307,965.10, 461,602.05 and 174,909.10

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Solution

The fourth proportional to 307,965.10, 461,602.05 and 174,909.10 is: 262,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,965.10 : 461,602.05 = 174,909.10 : x
  2. Step 2: Convert to fraction form
    307,965.10/461,602.05 = 174,909.10/x
  3. Step 3: Cross multiply
    307,965.10x = 461,602.05 × 174,909.10
  4. Step 4: Simplify right side
    307,965.10x = 80,738,399,123.66
  5. Step 5: Solve for x
    x = 80,738,399,123.66/307,965.10
  6. Step 6: Final answer
    x = 262,167.37

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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.