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Finding the Fourth Proportional to 307,593.72, 460,742.04 and 195,214.68

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Solution

The fourth proportional to 307,593.72, 460,742.04 and 195,214.68 is: 292,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,593.72 : 460,742.04 = 195,214.68 : x
  2. Step 2: Convert to fraction form
    307,593.72/460,742.04 = 195,214.68/x
  3. Step 3: Cross multiply
    307,593.72x = 460,742.04 × 195,214.68
  4. Step 4: Simplify right side
    307,593.72x = 89,943,609,901.15
  5. Step 5: Solve for x
    x = 89,943,609,901.15/307,593.72
  6. Step 6: Final answer
    x = 292,410.42

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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.