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Finding the Fourth Proportional to 512,792.96, 707,481 and 297,756.18

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Solution

The fourth proportional to 512,792.96, 707,481 and 297,756.18 is: 410,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,792.96 : 707,481 = 297,756.18 : x
  2. Step 2: Convert to fraction form
    512,792.96/707,481 = 297,756.18/x
  3. Step 3: Cross multiply
    512,792.96x = 707,481 × 297,756.18
  4. Step 4: Simplify right side
    512,792.96x = 210,656,839,982.58
  5. Step 5: Solve for x
    x = 210,656,839,982.58/512,792.96
  6. Step 6: Final answer
    x = 410,802.91

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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.