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Finding the Fourth Proportional to 348,329.25, 522,056.75 and 188,398.80

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Solution

The fourth proportional to 348,329.25, 522,056.75 and 188,398.80 is: 282,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,329.25 : 522,056.75 = 188,398.80 : x
  2. Step 2: Convert to fraction form
    348,329.25/522,056.75 = 188,398.80/x
  3. Step 3: Cross multiply
    348,329.25x = 522,056.75 × 188,398.80
  4. Step 4: Simplify right side
    348,329.25x = 98,354,864,289.91
  5. Step 5: Solve for x
    x = 98,354,864,289.91/348,329.25
  6. Step 6: Final answer
    x = 282,361.77

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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.