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Finding the Fourth Proportional to 438,986.76, 658,177.56 and 172,777.84

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Solution

The fourth proportional to 438,986.76, 658,177.56 and 172,777.84 is: 259,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,986.76 : 658,177.56 = 172,777.84 : x
  2. Step 2: Convert to fraction form
    438,986.76/658,177.56 = 172,777.84/x
  3. Step 3: Cross multiply
    438,986.76x = 658,177.56 × 172,777.84
  4. Step 4: Simplify right side
    438,986.76x = 113,718,497,153.27
  5. Step 5: Solve for x
    x = 113,718,497,153.27/438,986.76
  6. Step 6: Final answer
    x = 259,047.67

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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.