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Finding the Fourth Proportional to 477,832.80, 716,249.14 and 178,192.84

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Solution

The fourth proportional to 477,832.80, 716,249.14 and 178,192.84 is: 267,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,832.80 : 716,249.14 = 178,192.84 : x
  2. Step 2: Convert to fraction form
    477,832.80/716,249.14 = 178,192.84/x
  3. Step 3: Cross multiply
    477,832.80x = 716,249.14 × 178,192.84
  4. Step 4: Simplify right side
    477,832.80x = 127,630,468,404.16
  5. Step 5: Solve for x
    x = 127,630,468,404.16/477,832.80
  6. Step 6: Final answer
    x = 267,102.78

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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.