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Finding the Fourth Proportional to 509,450.40, 764,175.60 and 465,904.80

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Solution

The fourth proportional to 509,450.40, 764,175.60 and 465,904.80 is: 698,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,450.40 : 764,175.60 = 465,904.80 : x
  2. Step 2: Convert to fraction form
    509,450.40/764,175.60 = 465,904.80/x
  3. Step 3: Cross multiply
    509,450.40x = 764,175.60 × 465,904.80
  4. Step 4: Simplify right side
    509,450.40x = 356,033,080,082.88
  5. Step 5: Solve for x
    x = 356,033,080,082.88/509,450.40
  6. Step 6: Final answer
    x = 698,857.20

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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.