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Finding the Fourth Proportional to 484,709.60, 727,096.80 and 164,856.80

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Solution

The fourth proportional to 484,709.60, 727,096.80 and 164,856.80 is: 247,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,709.60 : 727,096.80 = 164,856.80 : x
  2. Step 2: Convert to fraction form
    484,709.60/727,096.80 = 164,856.80/x
  3. Step 3: Cross multiply
    484,709.60x = 727,096.80 × 164,856.80
  4. Step 4: Simplify right side
    484,709.60x = 119,866,851,738.24
  5. Step 5: Solve for x
    x = 119,866,851,738.24/484,709.60
  6. Step 6: Final answer
    x = 247,296.22

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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.