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Finding the Fourth Proportional to 491,041.80, 734,813.10 and 340,576.20

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Solution

The fourth proportional to 491,041.80, 734,813.10 and 340,576.20 is: 509,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,041.80 : 734,813.10 = 340,576.20 : x
  2. Step 2: Convert to fraction form
    491,041.80/734,813.10 = 340,576.20/x
  3. Step 3: Cross multiply
    491,041.80x = 734,813.10 × 340,576.20
  4. Step 4: Simplify right side
    491,041.80x = 250,259,853,308.22
  5. Step 5: Solve for x
    x = 250,259,853,308.22/491,041.80
  6. Step 6: Final answer
    x = 509,650.81

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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.