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Finding the Fourth Proportional to 494,920.25, 683,299.47 and 340,138.16

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Solution

The fourth proportional to 494,920.25, 683,299.47 and 340,138.16 is: 469,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,920.25 : 683,299.47 = 340,138.16 : x
  2. Step 2: Convert to fraction form
    494,920.25/683,299.47 = 340,138.16/x
  3. Step 3: Cross multiply
    494,920.25x = 683,299.47 × 340,138.16
  4. Step 4: Simplify right side
    494,920.25x = 232,416,224,454.78
  5. Step 5: Solve for x
    x = 232,416,224,454.78/494,920.25
  6. Step 6: Final answer
    x = 469,603.38

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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.