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Finding the Fourth Proportional to 470,359.28, 649,084.92 and 255,494.54

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Solution

The fourth proportional to 470,359.28, 649,084.92 and 255,494.54 is: 352,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,359.28 : 649,084.92 = 255,494.54 : x
  2. Step 2: Convert to fraction form
    470,359.28/649,084.92 = 255,494.54/x
  3. Step 3: Cross multiply
    470,359.28x = 649,084.92 × 255,494.54
  4. Step 4: Simplify right side
    470,359.28x = 165,837,653,056.34
  5. Step 5: Solve for x
    x = 165,837,653,056.34/470,359.28
  6. Step 6: Final answer
    x = 352,576.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.