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Finding the Fourth Proportional to 382,342.84, 573,477.12 and 116,105.66

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Solution

The fourth proportional to 382,342.84, 573,477.12 and 116,105.66 is: 174,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,342.84 : 573,477.12 = 116,105.66 : x
  2. Step 2: Convert to fraction form
    382,342.84/573,477.12 = 116,105.66/x
  3. Step 3: Cross multiply
    382,342.84x = 573,477.12 × 116,105.66
  4. Step 4: Simplify right side
    382,342.84x = 66,583,938,795.65
  5. Step 5: Solve for x
    x = 66,583,938,795.65/382,342.84
  6. Step 6: Final answer
    x = 174,147.21

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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.