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Finding the Fourth Proportional to 513,792.24, 708,564.84 and 441,172.44

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Solution

The fourth proportional to 513,792.24, 708,564.84 and 441,172.44 is: 608,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,792.24 : 708,564.84 = 441,172.44 : x
  2. Step 2: Convert to fraction form
    513,792.24/708,564.84 = 441,172.44/x
  3. Step 3: Cross multiply
    513,792.24x = 708,564.84 × 441,172.44
  4. Step 4: Simplify right side
    513,792.24x = 312,599,279,361.01
  5. Step 5: Solve for x
    x = 312,599,279,361.01/513,792.24
  6. Step 6: Final answer
    x = 608,415.73

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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.