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Finding the Fourth Proportional to 943,256, 1,413,994.56 and 469,493.48

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Solution

The fourth proportional to 943,256, 1,413,994.56 and 469,493.48 is: 703,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,256 : 1,413,994.56 = 469,493.48 : x
  2. Step 2: Convert to fraction form
    943,256/1,413,994.56 = 469,493.48/x
  3. Step 3: Cross multiply
    943,256x = 1,413,994.56 × 469,493.48
  4. Step 4: Simplify right side
    943,256x = 663,861,226,675.47
  5. Step 5: Solve for x
    x = 663,861,226,675.47/943,256
  6. Step 6: Final answer
    x = 703,797.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.