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Finding the Fourth Proportional to 289,777.76, 399,893.04 and 162,453.38

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Solution

The fourth proportional to 289,777.76, 399,893.04 and 162,453.38 is: 224,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,777.76 : 399,893.04 = 162,453.38 : x
  2. Step 2: Convert to fraction form
    289,777.76/399,893.04 = 162,453.38/x
  3. Step 3: Cross multiply
    289,777.76x = 399,893.04 × 162,453.38
  4. Step 4: Simplify right side
    289,777.76x = 64,963,975,986.48
  5. Step 5: Solve for x
    x = 64,963,975,986.48/289,777.76
  6. Step 6: Final answer
    x = 224,185.51

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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.