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Finding the Fourth Proportional to 509,934.60, 764,245.80 and 310,042.80

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Solution

The fourth proportional to 509,934.60, 764,245.80 and 310,042.80 is: 464,665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,934.60 : 764,245.80 = 310,042.80 : x
  2. Step 2: Convert to fraction form
    509,934.60/764,245.80 = 310,042.80/x
  3. Step 3: Cross multiply
    509,934.60x = 764,245.80 × 310,042.80
  4. Step 4: Simplify right side
    509,934.60x = 236,948,907,720.24
  5. Step 5: Solve for x
    x = 236,948,907,720.24/509,934.60
  6. Step 6: Final answer
    x = 464,665.29

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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.