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Finding the Fourth Proportional to 348,307.75, 522,024.34 and 188,377.31

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Solution

The fourth proportional to 348,307.75, 522,024.34 and 188,377.31 is: 282,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,307.75 : 522,024.34 = 188,377.31 : x
  2. Step 2: Convert to fraction form
    348,307.75/522,024.34 = 188,377.31/x
  3. Step 3: Cross multiply
    348,307.75x = 522,024.34 × 188,377.31
  4. Step 4: Simplify right side
    348,307.75x = 98,337,540,923.73
  5. Step 5: Solve for x
    x = 98,337,540,923.73/348,307.75
  6. Step 6: Final answer
    x = 282,329.47

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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.