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Finding the Fourth Proportional to 386,542.40, 579,784.80 and 161,844.80

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Solution

The fourth proportional to 386,542.40, 579,784.80 and 161,844.80 is: 242,755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,542.40 : 579,784.80 = 161,844.80 : x
  2. Step 2: Convert to fraction form
    386,542.40/579,784.80 = 161,844.80/x
  3. Step 3: Cross multiply
    386,542.40x = 579,784.80 × 161,844.80
  4. Step 4: Simplify right side
    386,542.40x = 93,835,154,999.04
  5. Step 5: Solve for x
    x = 93,835,154,999.04/386,542.40
  6. Step 6: Final answer
    x = 242,755.14

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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.