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Finding the Fourth Proportional to 382,228.92, 573,346.86 and 115,989.45

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Solution

The fourth proportional to 382,228.92, 573,346.86 and 115,989.45 is: 173,985.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,228.92 : 573,346.86 = 115,989.45 : x
  2. Step 2: Convert to fraction form
    382,228.92/573,346.86 = 115,989.45/x
  3. Step 3: Cross multiply
    382,228.92x = 573,346.86 × 115,989.45
  4. Step 4: Simplify right side
    382,228.92x = 66,502,186,370.68
  5. Step 5: Solve for x
    x = 66,502,186,370.68/382,228.92
  6. Step 6: Final answer
    x = 173,985.23

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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.