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Finding the Fourth Proportional to 509,384.20, 764,421.90 and 331,457.80

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Solution

The fourth proportional to 509,384.20, 764,421.90 and 331,457.80 is: 497,411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,384.20 : 764,421.90 = 331,457.80 : x
  2. Step 2: Convert to fraction form
    509,384.20/764,421.90 = 331,457.80/x
  3. Step 3: Cross multiply
    509,384.20x = 764,421.90 × 331,457.80
  4. Step 4: Simplify right side
    509,384.20x = 253,373,601,245.82
  5. Step 5: Solve for x
    x = 253,373,601,245.82/509,384.20
  6. Step 6: Final answer
    x = 497,411.58

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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.