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Finding the Fourth Proportional to 466,846.20, 699,686.10 and 342,041.40

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Solution

The fourth proportional to 466,846.20, 699,686.10 and 342,041.40 is: 512,634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,846.20 : 699,686.10 = 342,041.40 : x
  2. Step 2: Convert to fraction form
    466,846.20/699,686.10 = 342,041.40/x
  3. Step 3: Cross multiply
    466,846.20x = 699,686.10 × 342,041.40
  4. Step 4: Simplify right side
    466,846.20x = 239,321,613,204.54
  5. Step 5: Solve for x
    x = 239,321,613,204.54/466,846.20
  6. Step 6: Final answer
    x = 512,634.81

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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.