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Finding the Fourth Proportional to 477,973.63, 659,611.92 and 274,057.75

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Solution

The fourth proportional to 477,973.63, 659,611.92 and 274,057.75 is: 378,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,973.63 : 659,611.92 = 274,057.75 : x
  2. Step 2: Convert to fraction form
    477,973.63/659,611.92 = 274,057.75/x
  3. Step 3: Cross multiply
    477,973.63x = 659,611.92 × 274,057.75
  4. Step 4: Simplify right side
    477,973.63x = 180,771,758,668.38
  5. Step 5: Solve for x
    x = 180,771,758,668.38/477,973.63
  6. Step 6: Final answer
    x = 378,204.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.