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Finding the Fourth Proportional to 407,137.14, 610,136.82 and 346,851.54

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Solution

The fourth proportional to 407,137.14, 610,136.82 and 346,851.54 is: 519,792.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,137.14 : 610,136.82 = 346,851.54 : x
  2. Step 2: Convert to fraction form
    407,137.14/610,136.82 = 346,851.54/x
  3. Step 3: Cross multiply
    407,137.14x = 610,136.82 × 346,851.54
  4. Step 4: Simplify right side
    407,137.14x = 211,626,895,627.70
  5. Step 5: Solve for x
    x = 211,626,895,627.70/407,137.14
  6. Step 6: Final answer
    x = 519,792.66

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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.