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Finding the Fourth Proportional to 509,813.80, 764,720.70 and 433,706.20

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Solution

The fourth proportional to 509,813.80, 764,720.70 and 433,706.20 is: 650,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,813.80 : 764,720.70 = 433,706.20 : x
  2. Step 2: Convert to fraction form
    509,813.80/764,720.70 = 433,706.20/x
  3. Step 3: Cross multiply
    509,813.80x = 764,720.70 × 433,706.20
  4. Step 4: Simplify right side
    509,813.80x = 331,664,108,858.34
  5. Step 5: Solve for x
    x = 331,664,108,858.34/509,813.80
  6. Step 6: Final answer
    x = 650,559.30

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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.