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Finding the Fourth Proportional to 509,664.80, 764,497.20 and 257,722.40

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Solution

The fourth proportional to 509,664.80, 764,497.20 and 257,722.40 is: 386,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,664.80 : 764,497.20 = 257,722.40 : x
  2. Step 2: Convert to fraction form
    509,664.80/764,497.20 = 257,722.40/x
  3. Step 3: Cross multiply
    509,664.80x = 764,497.20 × 257,722.40
  4. Step 4: Simplify right side
    509,664.80x = 197,028,053,177.28
  5. Step 5: Solve for x
    x = 197,028,053,177.28/509,664.80
  6. Step 6: Final answer
    x = 386,583.60

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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.