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Finding the Fourth Proportional to 484,771.12, 727,189.90 and 164,792.78

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Solution

The fourth proportional to 484,771.12, 727,189.90 and 164,792.78 is: 247,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,771.12 : 727,189.90 = 164,792.78 : x
  2. Step 2: Convert to fraction form
    484,771.12/727,189.90 = 164,792.78/x
  3. Step 3: Cross multiply
    484,771.12x = 727,189.90 × 164,792.78
  4. Step 4: Simplify right side
    484,771.12x = 119,835,645,208.92
  5. Step 5: Solve for x
    x = 119,835,645,208.92/484,771.12
  6. Step 6: Final answer
    x = 247,200.46

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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.