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Finding the Fourth Proportional to 585,346.89, 878,104.05 and 180,573.30

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Solution

The fourth proportional to 585,346.89, 878,104.05 and 180,573.30 is: 270,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,346.89 : 878,104.05 = 180,573.30 : x
  2. Step 2: Convert to fraction form
    585,346.89/878,104.05 = 180,573.30/x
  3. Step 3: Cross multiply
    585,346.89x = 878,104.05 × 180,573.30
  4. Step 4: Simplify right side
    585,346.89x = 158,562,146,051.87
  5. Step 5: Solve for x
    x = 158,562,146,051.87/585,346.89
  6. Step 6: Final answer
    x = 270,885.78

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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.