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Finding the Fourth Proportional to 477,791.34, 716,752.89 and 162,163.50

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Solution

The fourth proportional to 477,791.34, 716,752.89 and 162,163.50 is: 243,267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,791.34 : 716,752.89 = 162,163.50 : x
  2. Step 2: Convert to fraction form
    477,791.34/716,752.89 = 162,163.50/x
  3. Step 3: Cross multiply
    477,791.34x = 716,752.89 × 162,163.50
  4. Step 4: Simplify right side
    477,791.34x = 116,231,157,277.52
  5. Step 5: Solve for x
    x = 116,231,157,277.52/477,791.34
  6. Step 6: Final answer
    x = 243,267.61

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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.