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Finding the Fourth Proportional to 449,092.48, 619,732.14 and 267,710.80

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Solution

The fourth proportional to 449,092.48, 619,732.14 and 267,710.80 is: 369,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,092.48 : 619,732.14 = 267,710.80 : x
  2. Step 2: Convert to fraction form
    449,092.48/619,732.14 = 267,710.80/x
  3. Step 3: Cross multiply
    449,092.48x = 619,732.14 × 267,710.80
  4. Step 4: Simplify right side
    449,092.48x = 165,908,986,985.11
  5. Step 5: Solve for x
    x = 165,908,986,985.11/449,092.48
  6. Step 6: Final answer
    x = 369,431.67

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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.