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Finding the Fourth Proportional to 562,320, 776,093.76 and 323,994.24

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Solution

The fourth proportional to 562,320, 776,093.76 and 323,994.24 is: 447,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,320 : 776,093.76 = 323,994.24 : x
  2. Step 2: Convert to fraction form
    562,320/776,093.76 = 323,994.24/x
  3. Step 3: Cross multiply
    562,320x = 776,093.76 × 323,994.24
  4. Step 4: Simplify right side
    562,320x = 251,449,907,939.94
  5. Step 5: Solve for x
    x = 251,449,907,939.94/562,320
  6. Step 6: Final answer
    x = 447,165.15

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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.