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Finding the Fourth Proportional to 477,778.50, 716,953.93 and 178,469.43

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Solution

The fourth proportional to 477,778.50, 716,953.93 and 178,469.43 is: 267,811.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,778.50 : 716,953.93 = 178,469.43 : x
  2. Step 2: Convert to fraction form
    477,778.50/716,953.93 = 178,469.43/x
  3. Step 3: Cross multiply
    477,778.50x = 716,953.93 × 178,469.43
  4. Step 4: Simplify right side
    477,778.50x = 127,954,357,092.50
  5. Step 5: Solve for x
    x = 127,954,357,092.50/477,778.50
  6. Step 6: Final answer
    x = 267,811.04

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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.