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Finding the Fourth Proportional to 389,769.60, 585,091.80 and 301,414.80

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Solution

The fourth proportional to 389,769.60, 585,091.80 and 301,414.80 is: 452,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,769.60 : 585,091.80 = 301,414.80 : x
  2. Step 2: Convert to fraction form
    389,769.60/585,091.80 = 301,414.80/x
  3. Step 3: Cross multiply
    389,769.60x = 585,091.80 × 301,414.80
  4. Step 4: Simplify right side
    389,769.60x = 176,355,327,878.64
  5. Step 5: Solve for x
    x = 176,355,327,878.64/389,769.60
  6. Step 6: Final answer
    x = 452,460.45

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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.