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Finding the Fourth Proportional to 589,780.44, 884,359.62 and 257,175

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Solution

The fourth proportional to 589,780.44, 884,359.62 and 257,175 is: 385,626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,780.44 : 884,359.62 = 257,175 : x
  2. Step 2: Convert to fraction form
    589,780.44/884,359.62 = 257,175/x
  3. Step 3: Cross multiply
    589,780.44x = 884,359.62 × 257,175
  4. Step 4: Simplify right side
    589,780.44x = 227,435,185,273.50
  5. Step 5: Solve for x
    x = 227,435,185,273.50/589,780.44
  6. Step 6: Final answer
    x = 385,626.87

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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.