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Finding the Fourth Proportional to 684,245, 944,287.26 and 382,439

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Solution

The fourth proportional to 684,245, 944,287.26 and 382,439 is: 527,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,245 : 944,287.26 = 382,439 : x
  2. Step 2: Convert to fraction form
    684,245/944,287.26 = 382,439/x
  3. Step 3: Cross multiply
    684,245x = 944,287.26 × 382,439
  4. Step 4: Simplify right side
    684,245x = 361,132,275,427.14
  5. Step 5: Solve for x
    x = 361,132,275,427.14/684,245
  6. Step 6: Final answer
    x = 527,782.12

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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.