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Finding the Fourth Proportional to 512,949.14, 707,502.70 and 360,021.46

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Solution

The fourth proportional to 512,949.14, 707,502.70 and 360,021.46 is: 496,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,949.14 : 707,502.70 = 360,021.46 : x
  2. Step 2: Convert to fraction form
    512,949.14/707,502.70 = 360,021.46/x
  3. Step 3: Cross multiply
    512,949.14x = 707,502.70 × 360,021.46
  4. Step 4: Simplify right side
    512,949.14x = 254,716,155,015.78
  5. Step 5: Solve for x
    x = 254,716,155,015.78/512,949.14
  6. Step 6: Final answer
    x = 496,571.95

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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.