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Finding the Fourth Proportional to 307,204.82, 460,738.08 and 110,212.82

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Solution

The fourth proportional to 307,204.82, 460,738.08 and 110,212.82 is: 165,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,204.82 : 460,738.08 = 110,212.82 : x
  2. Step 2: Convert to fraction form
    307,204.82/460,738.08 = 110,212.82/x
  3. Step 3: Cross multiply
    307,204.82x = 460,738.08 × 110,212.82
  4. Step 4: Simplify right side
    307,204.82x = 50,779,243,078.19
  5. Step 5: Solve for x
    x = 50,779,243,078.19/307,204.82
  6. Step 6: Final answer
    x = 165,294.42

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1.5x scale

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.