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Finding the Fourth Proportional to 307,412.72, 460,495.80 and 174,012.56

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Solution

The fourth proportional to 307,412.72, 460,495.80 and 174,012.56 is: 260,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,412.72 : 460,495.80 = 174,012.56 : x
  2. Step 2: Convert to fraction form
    307,412.72/460,495.80 = 174,012.56/x
  3. Step 3: Cross multiply
    307,412.72x = 460,495.80 × 174,012.56
  4. Step 4: Simplify right side
    307,412.72x = 80,132,053,027.25
  5. Step 5: Solve for x
    x = 80,132,053,027.25/307,412.72
  6. Step 6: Final answer
    x = 260,666.03

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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.