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Finding the Fourth Proportional to 509,964.30, 764,946.45 and 419,762.70

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Solution

The fourth proportional to 509,964.30, 764,946.45 and 419,762.70 is: 629,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,964.30 : 764,946.45 = 419,762.70 : x
  2. Step 2: Convert to fraction form
    509,964.30/764,946.45 = 419,762.70/x
  3. Step 3: Cross multiply
    509,964.30x = 764,946.45 × 419,762.70
  4. Step 4: Simplify right side
    509,964.30x = 321,095,987,207.42
  5. Step 5: Solve for x
    x = 321,095,987,207.42/509,964.30
  6. Step 6: Final answer
    x = 629,644.05

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Double scale
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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.