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Finding the Fourth Proportional to 485,323.80, 727,640.10 and 185,688.60

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Solution

The fourth proportional to 485,323.80, 727,640.10 and 185,688.60 is: 278,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,323.80 : 727,640.10 = 185,688.60 : x
  2. Step 2: Convert to fraction form
    485,323.80/727,640.10 = 185,688.60/x
  3. Step 3: Cross multiply
    485,323.80x = 727,640.10 × 185,688.60
  4. Step 4: Simplify right side
    485,323.80x = 135,114,471,472.86
  5. Step 5: Solve for x
    x = 135,114,471,472.86/485,323.80
  6. Step 6: Final answer
    x = 278,400.67

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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.