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Finding the Fourth Proportional to 432,826.80, 649,240.20 and 266,708.40

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Solution

The fourth proportional to 432,826.80, 649,240.20 and 266,708.40 is: 400,062.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,826.80 : 649,240.20 = 266,708.40 : x
  2. Step 2: Convert to fraction form
    432,826.80/649,240.20 = 266,708.40/x
  3. Step 3: Cross multiply
    432,826.80x = 649,240.20 × 266,708.40
  4. Step 4: Simplify right side
    432,826.80x = 173,157,814,957.68
  5. Step 5: Solve for x
    x = 173,157,814,957.68/432,826.80
  6. Step 6: Final answer
    x = 400,062.60

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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.