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Finding the Fourth Proportional to 509,610.80, 764,416.20 and 257,668.40

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Solution

The fourth proportional to 509,610.80, 764,416.20 and 257,668.40 is: 386,502.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,610.80 : 764,416.20 = 257,668.40 : x
  2. Step 2: Convert to fraction form
    509,610.80/764,416.20 = 257,668.40/x
  3. Step 3: Cross multiply
    509,610.80x = 764,416.20 × 257,668.40
  4. Step 4: Simplify right side
    509,610.80x = 196,965,899,188.08
  5. Step 5: Solve for x
    x = 196,965,899,188.08/509,610.80
  6. Step 6: Final answer
    x = 386,502.60

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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.