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Finding the Fourth Proportional to 512,810.70, 769,216.05 and 512,810.70

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Solution

The fourth proportional to 512,810.70, 769,216.05 and 512,810.70 is: 769,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,810.70 : 769,216.05 = 512,810.70 : x
  2. Step 2: Convert to fraction form
    512,810.70/769,216.05 = 512,810.70/x
  3. Step 3: Cross multiply
    512,810.70x = 769,216.05 × 512,810.70
  4. Step 4: Simplify right side
    512,810.70x = 394,462,221,051.74
  5. Step 5: Solve for x
    x = 394,462,221,051.74/512,810.70
  6. Step 6: Final answer
    x = 769,216.05

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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.