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Finding the Fourth Proportional to 477,829.94, 716,744.04 and 327,614.84

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Solution

The fourth proportional to 477,829.94, 716,744.04 and 327,614.84 is: 491,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,829.94 : 716,744.04 = 327,614.84 : x
  2. Step 2: Convert to fraction form
    477,829.94/716,744.04 = 327,614.84/x
  3. Step 3: Cross multiply
    477,829.94x = 716,744.04 × 327,614.84
  4. Step 4: Simplify right side
    477,829.94x = 234,815,980,401.83
  5. Step 5: Solve for x
    x = 234,815,980,401.83/477,829.94
  6. Step 6: Final answer
    x = 491,421.66

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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.