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Finding the Fourth Proportional to 509,308.20, 764,307.90 and 331,381.80

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Solution

The fourth proportional to 509,308.20, 764,307.90 and 331,381.80 is: 497,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,308.20 : 764,307.90 = 331,381.80 : x
  2. Step 2: Convert to fraction form
    509,308.20/764,307.90 = 331,381.80/x
  3. Step 3: Cross multiply
    509,308.20x = 764,307.90 × 331,381.80
  4. Step 4: Simplify right side
    509,308.20x = 253,277,727,656.22
  5. Step 5: Solve for x
    x = 253,277,727,656.22/509,308.20
  6. Step 6: Final answer
    x = 497,297.56

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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.