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Finding the Fourth Proportional to 663,344, 914,775.36 and 446,042.24

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Solution

The fourth proportional to 663,344, 914,775.36 and 446,042.24 is: 615,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,344 : 914,775.36 = 446,042.24 : x
  2. Step 2: Convert to fraction form
    663,344/914,775.36 = 446,042.24/x
  3. Step 3: Cross multiply
    663,344x = 914,775.36 × 446,042.24
  4. Step 4: Simplify right side
    663,344x = 408,028,450,671.21
  5. Step 5: Solve for x
    x = 408,028,450,671.21/663,344
  6. Step 6: Final answer
    x = 615,108.38

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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.