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Finding the Fourth Proportional to 509,964.60, 764,946.90 and 459,226.20

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Solution

The fourth proportional to 509,964.60, 764,946.90 and 459,226.20 is: 688,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,964.60 : 764,946.90 = 459,226.20 : x
  2. Step 2: Convert to fraction form
    509,964.60/764,946.90 = 459,226.20/x
  3. Step 3: Cross multiply
    509,964.60x = 764,946.90 × 459,226.20
  4. Step 4: Simplify right side
    509,964.60x = 351,283,658,088.78
  5. Step 5: Solve for x
    x = 351,283,658,088.78/509,964.60
  6. Step 6: Final answer
    x = 688,839.30

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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.