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Finding the Fourth Proportional to 519,171.42, 778,751.94 and 164,185.50

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Solution

The fourth proportional to 519,171.42, 778,751.94 and 164,185.50 is: 246,276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,171.42 : 778,751.94 = 164,185.50 : x
  2. Step 2: Convert to fraction form
    519,171.42/778,751.94 = 164,185.50/x
  3. Step 3: Cross multiply
    519,171.42x = 778,751.94 × 164,185.50
  4. Step 4: Simplify right side
    519,171.42x = 127,859,776,644.87
  5. Step 5: Solve for x
    x = 127,859,776,644.87/519,171.42
  6. Step 6: Final answer
    x = 246,276.61

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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.