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Finding the Fourth Proportional to 497,674.80, 746,512.20 and 338,007.60

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Solution

The fourth proportional to 497,674.80, 746,512.20 and 338,007.60 is: 507,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,674.80 : 746,512.20 = 338,007.60 : x
  2. Step 2: Convert to fraction form
    497,674.80/746,512.20 = 338,007.60/x
  3. Step 3: Cross multiply
    497,674.80x = 746,512.20 × 338,007.60
  4. Step 4: Simplify right side
    497,674.80x = 252,326,797,092.72
  5. Step 5: Solve for x
    x = 252,326,797,092.72/497,674.80
  6. Step 6: Final answer
    x = 507,011.40

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Similar ratio
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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.