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Finding the Fourth Proportional to 384,048.60, 576,072.90 and 195,091.80

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Solution

The fourth proportional to 384,048.60, 576,072.90 and 195,091.80 is: 292,637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,048.60 : 576,072.90 = 195,091.80 : x
  2. Step 2: Convert to fraction form
    384,048.60/576,072.90 = 195,091.80/x
  3. Step 3: Cross multiply
    384,048.60x = 576,072.90 × 195,091.80
  4. Step 4: Simplify right side
    384,048.60x = 112,387,098,992.22
  5. Step 5: Solve for x
    x = 112,387,098,992.22/384,048.60
  6. Step 6: Final answer
    x = 292,637.70

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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.