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Finding the Fourth Proportional to 477,744.14, 716,641.32 and 122,760.56

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Solution

The fourth proportional to 477,744.14, 716,641.32 and 122,760.56 is: 184,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,744.14 : 716,641.32 = 122,760.56 : x
  2. Step 2: Convert to fraction form
    477,744.14/716,641.32 = 122,760.56/x
  3. Step 3: Cross multiply
    477,744.14x = 716,641.32 × 122,760.56
  4. Step 4: Simplify right side
    477,744.14x = 87,975,289,762.34
  5. Step 5: Solve for x
    x = 87,975,289,762.34/477,744.14
  6. Step 6: Final answer
    x = 184,147.29

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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.