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Finding the Fourth Proportional to 585,780.66, 878,334.54 and 230,600.88

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Solution

The fourth proportional to 585,780.66, 878,334.54 and 230,600.88 is: 345,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,780.66 : 878,334.54 = 230,600.88 : x
  2. Step 2: Convert to fraction form
    585,780.66/878,334.54 = 230,600.88/x
  3. Step 3: Cross multiply
    585,780.66x = 878,334.54 × 230,600.88
  4. Step 4: Simplify right side
    585,780.66x = 202,544,717,858.40
  5. Step 5: Solve for x
    x = 202,544,717,858.40/585,780.66
  6. Step 6: Final answer
    x = 345,768.87

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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.