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Finding the Fourth Proportional to 492,299.20, 738,448.80 and 413,567.20

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Solution

The fourth proportional to 492,299.20, 738,448.80 and 413,567.20 is: 620,350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,299.20 : 738,448.80 = 413,567.20 : x
  2. Step 2: Convert to fraction form
    492,299.20/738,448.80 = 413,567.20/x
  3. Step 3: Cross multiply
    492,299.20x = 738,448.80 × 413,567.20
  4. Step 4: Simplify right side
    492,299.20x = 305,398,202,559.36
  5. Step 5: Solve for x
    x = 305,398,202,559.36/492,299.20
  6. Step 6: Final answer
    x = 620,350.80

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1.5x scale

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.