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Finding the Fourth Proportional to 512,140.65, 706,716.25 and 297,246.03

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Solution

The fourth proportional to 512,140.65, 706,716.25 and 297,246.03 is: 410,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,140.65 : 706,716.25 = 297,246.03 : x
  2. Step 2: Convert to fraction form
    512,140.65/706,716.25 = 297,246.03/x
  3. Step 3: Cross multiply
    512,140.65x = 706,716.25 × 297,246.03
  4. Step 4: Simplify right side
    512,140.65x = 210,068,599,648.99
  5. Step 5: Solve for x
    x = 210,068,599,648.99/512,140.65
  6. Step 6: Final answer
    x = 410,177.56

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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.