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Finding the Fourth Proportional to 506,078.56, 759,105.69 and 164,521.54

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Solution

The fourth proportional to 506,078.56, 759,105.69 and 164,521.54 is: 246,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,078.56 : 759,105.69 = 164,521.54 : x
  2. Step 2: Convert to fraction form
    506,078.56/759,105.69 = 164,521.54/x
  3. Step 3: Cross multiply
    506,078.56x = 759,105.69 × 164,521.54
  4. Step 4: Simplify right side
    506,078.56x = 124,889,237,141.56
  5. Step 5: Solve for x
    x = 124,889,237,141.56/506,078.56
  6. Step 6: Final answer
    x = 246,778.36

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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.