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Finding the Fourth Proportional to 509,449.40, 764,174.10 and 465,903.80

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Solution

The fourth proportional to 509,449.40, 764,174.10 and 465,903.80 is: 698,855.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,449.40 : 764,174.10 = 465,903.80 : x
  2. Step 2: Convert to fraction form
    509,449.40/764,174.10 = 465,903.80/x
  3. Step 3: Cross multiply
    509,449.40x = 764,174.10 × 465,903.80
  4. Step 4: Simplify right side
    509,449.40x = 356,031,617,051.58
  5. Step 5: Solve for x
    x = 356,031,617,051.58/509,449.40
  6. Step 6: Final answer
    x = 698,855.70

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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.