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Finding the Fourth Proportional to 512,810.10, 769,907.70 and 299,796.30

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Solution

The fourth proportional to 512,810.10, 769,907.70 and 299,796.30 is: 450,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,810.10 : 769,907.70 = 299,796.30 : x
  2. Step 2: Convert to fraction form
    512,810.10/769,907.70 = 299,796.30/x
  3. Step 3: Cross multiply
    512,810.10x = 769,907.70 × 299,796.30
  4. Step 4: Simplify right side
    512,810.10x = 230,815,479,801.51
  5. Step 5: Solve for x
    x = 230,815,479,801.51/512,810.10
  6. Step 6: Final answer
    x = 450,099.32

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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.