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Finding the Fourth Proportional to 363,971.80, 545,828.10 and 164,387.80

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Solution

The fourth proportional to 363,971.80, 545,828.10 and 164,387.80 is: 246,523.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,971.80 : 545,828.10 = 164,387.80 : x
  2. Step 2: Convert to fraction form
    363,971.80/545,828.10 = 164,387.80/x
  3. Step 3: Cross multiply
    363,971.80x = 545,828.10 × 164,387.80
  4. Step 4: Simplify right side
    363,971.80x = 89,727,480,537.18
  5. Step 5: Solve for x
    x = 89,727,480,537.18/363,971.80
  6. Step 6: Final answer
    x = 246,523.17

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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.