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Finding the Fourth Proportional to 512,388.56, 705,530.94 and 464,329.28

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Solution

The fourth proportional to 512,388.56, 705,530.94 and 464,329.28 is: 639,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,388.56 : 705,530.94 = 464,329.28 : x
  2. Step 2: Convert to fraction form
    512,388.56/705,530.94 = 464,329.28/x
  3. Step 3: Cross multiply
    512,388.56x = 705,530.94 × 464,329.28
  4. Step 4: Simplify right side
    512,388.56x = 327,598,673,387.92
  5. Step 5: Solve for x
    x = 327,598,673,387.92/512,388.56
  6. Step 6: Final answer
    x = 639,355.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.