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Finding the Fourth Proportional to 509,666.80, 764,500.20 and 257,724.40

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Solution

The fourth proportional to 509,666.80, 764,500.20 and 257,724.40 is: 386,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,666.80 : 764,500.20 = 257,724.40 : x
  2. Step 2: Convert to fraction form
    509,666.80/764,500.20 = 257,724.40/x
  3. Step 3: Cross multiply
    509,666.80x = 764,500.20 × 257,724.40
  4. Step 4: Simplify right side
    509,666.80x = 197,030,355,344.88
  5. Step 5: Solve for x
    x = 197,030,355,344.88/509,666.80
  6. Step 6: Final answer
    x = 386,586.60

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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.