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Finding the Fourth Proportional to 477,614.92, 716,396.44 and 145,165

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Solution

The fourth proportional to 477,614.92, 716,396.44 and 145,165 is: 217,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,614.92 : 716,396.44 = 145,165 : x
  2. Step 2: Convert to fraction form
    477,614.92/716,396.44 = 145,165/x
  3. Step 3: Cross multiply
    477,614.92x = 716,396.44 × 145,165
  4. Step 4: Simplify right side
    477,614.92x = 103,995,689,212.60
  5. Step 5: Solve for x
    x = 103,995,689,212.60/477,614.92
  6. Step 6: Final answer
    x = 217,739.62

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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.