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Finding the Fourth Proportional to 379,975.74, 570,120.54 and 166,633.20

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Solution

The fourth proportional to 379,975.74, 570,120.54 and 166,633.20 is: 250,018.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,975.74 : 570,120.54 = 166,633.20 : x
  2. Step 2: Convert to fraction form
    379,975.74/570,120.54 = 166,633.20/x
  3. Step 3: Cross multiply
    379,975.74x = 570,120.54 × 166,633.20
  4. Step 4: Simplify right side
    379,975.74x = 95,001,009,965.93
  5. Step 5: Solve for x
    x = 95,001,009,965.93/379,975.74
  6. Step 6: Final answer
    x = 250,018.62

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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.